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Paper Citation Record · LEDGER

Morse resolutions of monomial ideals and Betti splittings

As of 13 August 2026, this Paper Citation Record lists 53 of 53 outbound references and 1 inbound Pith citation observation for arXiv:2502.02122.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2502.02122 v1

Coverage vector

measured 53 of 53 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-09T13:26:03.112543Z

measured 54 of 54 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-08T16:43:05.398060Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-08T16:43:06.054804Z

Reference resolution

53 of 53 outbound references displayed

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  • verified fuzzy45
  • unresolved5
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c9178af7-379b-49c5-a35b-fc86886f0358 · outbound

This paper cites an unresolved cited work.

Morse resolutions of monomial ideals and Betti splittings Unresolved cited work

Reference 1

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation aa192eff-5b2c-45c9-b601-4ed67e4d1df2 · outbound

This paper cites Squarefree lexsegment ideals.

Morse resolutions of monomial ideals and Betti splittings Squarefree lexsegment ideals

Reference 2

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation d1248654-1b93-4ea5-b8da-2be466fc7cba · outbound

This paper cites Pruned cellular free resolutions of monomial ideals.

Morse resolutions of monomial ideals and Betti splittings Pruned cellular free resolutions of monomial ideals

Reference 3

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 081834ba-71c5-4bf7-8d60-c3a057729ba9 · outbound

This paper cites Splitting vertices and L yubeznik table of graphs.

Morse resolutions of monomial ideals and Betti splittings Splitting vertices and L yubeznik table of graphs

Reference 4

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 409812bf-5a4a-427c-8950-45b6d31b8b14 · outbound

This paper cites Betti splitting from a topological point of view.

Morse resolutions of monomial ideals and Betti splittings Betti splitting from a topological point of view

Reference 5

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 5e01db7b-42ea-4f9e-89c3-6dc24a154650 · outbound

This paper cites Upper bounds for the B etti numbers of a given H ilbert function.

Morse resolutions of monomial ideals and Betti splittings Upper bounds for the B etti numbers of a given H ilbert function

Reference 6

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation f8ebb30d-c32c-4d47-9366-334cb9c97bb1 · outbound

This paper cites Minimal cellular resolutions of the edge ideals of forests.

Morse resolutions of monomial ideals and Betti splittings Minimal cellular resolutions of the edge ideals of forests

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T13:26:03.639288Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation efe86b57-8e23-4051-91ce-34542b040d88 · outbound

This paper cites Betti splitting via componentwise linear ideals.

Morse resolutions of monomial ideals and Betti splittings Betti splitting via componentwise linear ideals

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T13:26:03.628489Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation acb519d6-fdc8-40d6-9bec-630e8d49041c · outbound

This paper cites Monomial resolutions.

Morse resolutions of monomial ideals and Betti splittings Monomial resolutions

Reference 9

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-09T13:26:02.962643Z digest=sha256:8ba7f979af4df7b421733e9b88d9f748a2c3c008d2f23ad89b401a0dba88b576

Observation e1e78df9-19ef-43ee-add5-86f8a11e069e · outbound

This paper cites Cellular resolutions of monomial modules.

Morse resolutions of monomial ideals and Betti splittings Cellular resolutions of monomial modules

Reference 10

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation ddd6f434-149d-4dce-85b4-88579db9de54 · outbound

This paper cites Discrete M orse theory for cellular resolutions.

Morse resolutions of monomial ideals and Betti splittings Discrete M orse theory for cellular resolutions

Reference 11

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-09T13:26:02.969708Z digest=sha256:16abddd1699b27e2b93b642cc9c1268f82d2c8182f739d459ff69325599b1f77

Observation fcdc9bcb-7db7-41b1-9ca1-a2b26d3d3e6b · outbound

This paper cites Graham Evans, Jr.

Morse resolutions of monomial ideals and Betti splittings Graham Evans, Jr

Reference 12

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 6b20e4a8-bcbc-45f4-9d5f-78da105d9cd9 · outbound

This paper cites Cooper, Sabine El Khoury, Sara Faridi, Sarah Mayes-Tang, Susan Morey, Liana M.

Morse resolutions of monomial ideals and Betti splittings Cooper, Sabine El Khoury, Sara Faridi, Sarah Mayes-Tang, Susan Morey, Liana M

Reference 13

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 4f9e0fd4-dece-444c-a480-05acaf768fec · outbound

This paper cites Cooper, Sabine El Khoury, Sara Faridi, Sarah Mayes-Tang, Susan Morey, Liana M.

Morse resolutions of monomial ideals and Betti splittings Cooper, Sabine El Khoury, Sara Faridi, Sarah Mayes-Tang, Susan Morey, Liana M

Reference 14

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation e93c234b-a8e3-46e6-8e19-bb4e9f9c964b · outbound

This paper cites Cohen-Macaulayness of vertex splittable monomial ideals.

Morse resolutions of monomial ideals and Betti splittings Cohen-Macaulayness of vertex splittable monomial ideals

Reference 15

Resolution
verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 1209c0fe-f28e-46bd-a04c-5bb1b4f0f6f6 · outbound

This paper cites an unresolved cited work.

Morse resolutions of monomial ideals and Betti splittings Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-09T13:26:03.553905Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-09T13:26:02.987640Z digest=sha256:4bec988aca1d0b7506d6c1ca73c7230b394d3d2a63a0bda79666fb268b351120

Observation 02ef1c6b-e785-466e-b240-f8a509cc0319 · outbound

This paper cites Betti tables of p - B orel-fixed ideals.

Morse resolutions of monomial ideals and Betti splittings Betti tables of p - B orel-fixed ideals

Reference 17

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation ff65eac5-0af9-4881-9d29-97d53dbf7293 · outbound

This paper cites Barile- M acchia resolutions.

Morse resolutions of monomial ideals and Betti splittings Barile- M acchia resolutions

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T13:26:03.535021Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 39cb2bb2-5163-47fd-99f9-528c68dd1b3f · outbound

This paper cites Cellular resolutions from mapping cones.

Morse resolutions of monomial ideals and Betti splittings Cellular resolutions from mapping cones

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T13:26:03.525674Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-09T13:26:02.997845Z digest=sha256:c3af973e906bcb8d61890d4c1e24e95d5cd643d29db000f89371b72c23c96b67

Observation a410954e-1dc7-4424-8784-c2df6031be13 · outbound

This paper cites Minimal resolutions of some monomial ideals.

Morse resolutions of monomial ideals and Betti splittings Minimal resolutions of some monomial ideals

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T13:26:03.515717Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-09T13:26:03.001861Z digest=sha256:2ad5d5a56cc833979ddf1e6b85c45e37f17ac0d07685992a9347739f6cd23c58

Observation b935716f-9944-49c2-9475-55d7f05c8002 · outbound

This paper cites Cellular resolutions of powers of monomial ideals.

Morse resolutions of monomial ideals and Betti splittings Cellular resolutions of powers of monomial ideals

Reference 21

Resolution
verified exact
local_arxiv, observed 2026-08-09T13:26:03.165651Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-09T13:26:03.005435Z digest=sha256:4e9a5aefd7e7ba00240998ea984de6d401b3f81c36ba1f45f01139303e8c2420

Observation 0c76e524-6133-48db-a9e7-c03d9fbbc4ee · outbound

This paper cites G., Roya Ghorbani, and Ali Akbar Yazdan Pour.

Morse resolutions of monomial ideals and Betti splittings G., Roya Ghorbani, and Ali Akbar Yazdan Pour

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T13:26:03.504648Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-09T13:26:03.009356Z digest=sha256:f4c7e511f005d5b3f8912badfaf11e45de69c1379e8e453a3a3f3e1b24fa4ecd

Observation 3782835d-136c-4816-8fdf-051285777d6a · outbound

This paper cites Francisco, Huy T\`ai H\`a, and Adam Van Tuyl.

Morse resolutions of monomial ideals and Betti splittings Francisco, Huy T\`ai H\`a, and Adam Van Tuyl

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T13:26:03.493390Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-09T13:26:03.012676Z digest=sha256:fe792ef9de96983dc2be50cc190d0c3e2c55ed694aaf311b8739c620d801efee

Observation 350b7db9-9fde-48db-908d-f0facf4213d8 · outbound

This paper cites Morse theory for cell complexes.

Morse resolutions of monomial ideals and Betti splittings Morse theory for cell complexes

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T13:26:03.482262Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation fcedb1ae-7882-4b69-a049-60f2264f9871 · outbound

This paper cites Francisco and Adam Van Tuyl.

Morse resolutions of monomial ideals and Betti splittings Francisco and Adam Van Tuyl

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T13:26:03.470663Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 8b7252c1-1b1e-49ee-ab30-2065e7ed8ed2 · outbound

This paper cites Resolutions of a -stable ideals.

Morse resolutions of monomial ideals and Betti splittings Resolutions of a -stable ideals

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T13:26:03.459644Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-09T13:26:03.023515Z digest=sha256:c7977b64184b6771dff8003454de3a40d7ae8abf1d8fc0f0c75273fcdc27b7bc

Observation 17c1278a-214b-49ee-ab4d-fae8895e7e41 · outbound

This paper cites Cellular structure for the H erzog- T akayama resolution.

Morse resolutions of monomial ideals and Betti splittings Cellular structure for the H erzog- T akayama resolution

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T13:26:03.447942Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-09T13:26:03.026442Z digest=sha256:a841f21dc449a3fa7417ab0b35fca805f75b094225cf804941723dcbf389dda9

Observation 020052fc-69bb-4365-bbf0-85fa0b70d055 · outbound

This paper cites Componentwise linear ideals.

Morse resolutions of monomial ideals and Betti splittings Componentwise linear ideals

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T13:26:03.437488Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-09T13:26:03.029596Z digest=sha256:13bb672e2297e19c0b7b1db31b66c5c727a021c05cbd199686975728ee4c771c

Observation 3cbafedf-cf4b-4092-ba8b-7f0457c29e30 · outbound

This paper cites Discrete polymatroids.

Morse resolutions of monomial ideals and Betti splittings Discrete polymatroids

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T13:26:03.427092Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-09T13:26:03.032592Z digest=sha256:117b0111f881bda2c1497e131eeaa4a415dbaf4b59c13101305d36d649d640c5

Observation 69ef77bd-b300-4285-9291-6a7a4f494bc2 · outbound

This paper cites Monomial ideals , volume 260 of Graduate Texts in Mathematics.

Morse resolutions of monomial ideals and Betti splittings Monomial ideals , volume 260 of Graduate Texts in Mathematics

Reference 30

Resolution
unresolved
no resolver link, observed 2026-08-09T13:26:03.035535Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-09T13:26:03.035535Z digest=sha256:61bf8e84c7a7ae10a8925967668fe3f203ee24bdbb3b48c37f74f084ba6f8afd

Observation 524cde21-a14b-4a16-a217-fdb483a43624 · outbound

This paper cites an unresolved cited work.

Morse resolutions of monomial ideals and Betti splittings Unresolved cited work

Reference 31

Resolution
unresolved
raw_fallback, observed 2026-08-09T13:26:03.408884Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-09T13:26:03.038366Z digest=sha256:0ae3b379f9f33742b336b8285804f9425db7d5d8dbbd57b83e7aa0c5c5d381be

Observation 702767a9-67b1-444d-90e9-a582adfe93b6 · outbound

This paper cites Resolutions by mapping cones.

Morse resolutions of monomial ideals and Betti splittings Resolutions by mapping cones

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T13:26:03.397414Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-09T13:26:03.041248Z digest=sha256:af73075e1adc9a70ef084bbffba13cdd07655985face9631a5537ce8ff9d13f0

Observation 5c9eed44-8c37-44bd-802a-c989e29ebde5 · outbound

This paper cites Maximum betti numbers for a given hilbert function.

Morse resolutions of monomial ideals and Betti splittings Maximum betti numbers for a given hilbert function

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T13:26:03.387003Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-09T13:26:03.044129Z digest=sha256:b44757d98a17ddbffede89afe5fc4c445fac0676101275699c43462d7aac7485

Observation eac2676b-f165-4a93-a48d-bd6fcfe939af · outbound

This paper cites Cellular structure of the P ommaret- S eiler resolution for quasi-stable ideals.

Morse resolutions of monomial ideals and Betti splittings Cellular structure of the P ommaret- S eiler resolution for quasi-stable ideals

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T13:26:03.377910Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-09T13:26:03.047173Z digest=sha256:4d59cb88bb87ea5462eec8db4f438a33139b8b8bf8fd1f4ba0b46786edbe9815

Observation 1a110d14-d063-4210-9bee-ded1026201d7 · outbound

This paper cites On the multigraded H ilbert and P oincar\'e- B etti series and the G olod property of monomial rings.

Morse resolutions of monomial ideals and Betti splittings On the multigraded H ilbert and P oincar\'e- B etti series and the G olod property of monomial rings

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T13:26:03.368973Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-09T13:26:03.050202Z digest=sha256:e0de1d6ff874b7872f14b0eed256ee27ff4557f64c3494152bed7c5cc189a7ca

Observation ae2b8d40-d180-423d-b79d-7619ad231ac3 · outbound

This paper cites Minimal resolutions via algebraic discrete M orse theory.

Morse resolutions of monomial ideals and Betti splittings Minimal resolutions via algebraic discrete M orse theory

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T13:26:03.359801Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-09T13:26:03.053385Z digest=sha256:5fbd30550f11eb2defdbb5564ad20102ac1831be7ba3e299a315af9bfdc91f0a

Observation 5e29e2e1-8b6e-44cd-adab-dd96314a7dd9 · outbound

This paper cites Arithmetical rank of monomial ideals of deviation two.

Morse resolutions of monomial ideals and Betti splittings Arithmetical rank of monomial ideals of deviation two

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T13:26:03.350388Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-09T13:26:03.056065Z digest=sha256:a71c71f6c20df73946437d6f6828038a9d8f9cadaa2b0daa76b69b3eaa3cd060

Observation fe2f903f-4be2-4544-b984-1c5daf145989 · outbound

This paper cites A new explicit finite free resolution of ideals generated by monomials in an R -sequence.

Morse resolutions of monomial ideals and Betti splittings A new explicit finite free resolution of ideals generated by monomials in an R -sequence

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T13:26:03.339609Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-09T13:26:03.059354Z digest=sha256:9118aed93205838a904a0c97c00c8313cba5e0b941da220b00667c89e2e4b674

Observation de52dae5-c6db-4481-8c52-dbd37f9a6240 · outbound

This paper cites The E liahou- K ervaire resolution is cellular.

Morse resolutions of monomial ideals and Betti splittings The E liahou- K ervaire resolution is cellular

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T13:26:03.328782Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-09T13:26:03.062780Z digest=sha256:b36b2c923aec6445db5acd63561db613a73cfafde607d4d444c553a117c9dee6

Observation 3c6b8b11-11bc-47fc-a00b-fb1f0e3a5499 · outbound

This paper cites On vertex decomposable simplicial complexes and their alexander duals.

Morse resolutions of monomial ideals and Betti splittings On vertex decomposable simplicial complexes and their alexander duals

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T13:26:03.317806Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-09T13:26:03.065973Z digest=sha256:2cd73ef852286bc2f5f537afc311af82ac22a4da34fc30dbca67f93bcf6dd4e1

Observation 2352ec8b-cd09-4f68-ab71-ec45ee578749 · outbound

This paper cites Vertex decomposability and weakly polymatroidal ideals.

Morse resolutions of monomial ideals and Betti splittings Vertex decomposability and weakly polymatroidal ideals

Reference 41

Resolution
verified exact
local_arxiv, observed 2026-08-09T13:26:03.150424Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-09T13:26:03.069292Z digest=sha256:ab30ba2f1b38b9ac857f3cefc8745eda9e1a7622cf342ea77ee4b3b982c4e67e

Observation cb4f0d05-d6f6-4583-96ea-4b9d1f052735 · outbound

This paper cites an unresolved cited work.

Morse resolutions of monomial ideals and Betti splittings Unresolved cited work

Reference 42

Resolution
unresolved
raw_fallback, observed 2026-08-09T13:26:03.307704Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-09T13:26:03.073025Z digest=sha256:1d2105771b68b6bb455e8cff48e502dab290e96e5a5e6b8848a8c2fba4669f83

Observation c765286e-4fba-4d30-b7c3-1c45e7b26dd9 · outbound

This paper cites On CW complexes supporting E liahou- K ervaire type resolutions of B orel fixed ideals.

Morse resolutions of monomial ideals and Betti splittings On CW complexes supporting E liahou- K ervaire type resolutions of B orel fixed ideals

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T13:26:03.297640Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-09T13:26:03.076771Z digest=sha256:16f332b0133cb61ffed79d932a1990bdf95bfb06e8a819ac52281be26513b36a

Observation b3bd7dd7-9271-430d-8275-3479bc779464 · outbound

This paper cites Nonstandard borel-fixed ideals.

Morse resolutions of monomial ideals and Betti splittings Nonstandard borel-fixed ideals

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T13:26:03.286784Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-09T13:26:03.080522Z digest=sha256:faac24cf2efd887ca4dbcfa81b129bd53f7ffdeb0fa8582766a6ecef1ab1c70f

Observation fd875eda-e7a5-4b47-a44b-6f85cfc2da85 · outbound

This paper cites Minimal free resolution of a finitely generated module over a regular local ring.

Morse resolutions of monomial ideals and Betti splittings Minimal free resolution of a finitely generated module over a regular local ring

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T13:26:03.276394Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-09T13:26:03.083849Z digest=sha256:1eac43a23e661221f6beef08a0a68702e21496d52a85b2228289504263694298

Observation 2d9248e4-4668-4999-b47d-d24a8b235ef0 · outbound

This paper cites On B orel fixed ideals generated in one degree.

Morse resolutions of monomial ideals and Betti splittings On B orel fixed ideals generated in one degree

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T13:26:03.265661Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-09T13:26:03.087257Z digest=sha256:6c80ccdd6cf090d81a07c69e3c382f59503d5d88f2e53d207cef7a9d0b66d749

Observation 4b94462b-0d85-4326-8dfd-d1e86d9df7b3 · outbound

This paper cites Morse theory from an algebraic viewpoint.

Morse resolutions of monomial ideals and Betti splittings Morse theory from an algebraic viewpoint

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T13:26:03.254960Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-09T13:26:03.090741Z digest=sha256:5a2c0e6a2ea609973a12ed1607034d287826b78b49166cd2a754e64957dca787

Observation 521bbdfd-157d-4474-aab3-8f3433d28cb6 · outbound

This paper cites Ideals generated by monomials in an R -sequence.

Morse resolutions of monomial ideals and Betti splittings Ideals generated by monomials in an R -sequence

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T13:26:03.244343Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-09T13:26:03.094312Z digest=sha256:8915b635e2d75e08a5389f6416f3146b9fde00a7c379b55173a762b561f27b51

Observation cbea0737-4cdf-41cb-a272-0bca5004b74b · outbound

This paper cites Minimal free resolutions that are not supported by a CW -complex.

Morse resolutions of monomial ideals and Betti splittings Minimal free resolutions that are not supported by a CW -complex

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T13:26:03.232989Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-09T13:26:03.098111Z digest=sha256:dad4253bcf73cd5ebb21d77ac54dd9996707fb246f80ff82a1dc7f41315d1c44

Observation 7bb9b2b9-1903-4392-9250-3ca77fa56241 · outbound

This paper cites Sequentially cohen-macaulay bipartite graphs: Vertex decomposability and regularity.

Morse resolutions of monomial ideals and Betti splittings Sequentially cohen-macaulay bipartite graphs: Vertex decomposability and regularity

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T13:26:03.222740Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-09T13:26:03.101579Z digest=sha256:89792c5e882f4a97772c930f23b985d58a8363c54848488e25b41028e6412e69

Observation 766dfab2-19ff-4d04-9a4d-5b1fd5bf31bb · outbound

This paper cites Discrete M orse theory and free resolutions.

Morse resolutions of monomial ideals and Betti splittings Discrete M orse theory and free resolutions

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T13:26:03.212648Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-09T13:26:03.105207Z digest=sha256:6cbc0b8d2b9ba57f63e1823b66671a7366edddd8a7cbbc85f9e0cc787626185d

Observation b540886e-9a43-40fc-ad9b-90fe36c6d118 · outbound

This paper cites Vertex decomposable graphs and obstructions to shellability.

Morse resolutions of monomial ideals and Betti splittings Vertex decomposable graphs and obstructions to shellability

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T13:26:03.202442Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-09T13:26:03.109043Z digest=sha256:1fac55f2f3329231261ae0cbff2b356bf2539b7d9f37f2e6fcc084e463258f79

Observation d5cfdad6-7a8b-48e0-9198-093654a6b59e · outbound

This paper cites Alexander duality for S tanley- R eisner rings and squarefree N^n -graded modules.

Morse resolutions of monomial ideals and Betti splittings Alexander duality for S tanley- R eisner rings and squarefree N^n -graded modules

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T13:26:03.191373Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-09T13:26:03.112543Z digest=sha256:8eb9cafe5fd9bd738a949f23fb6d946d76ca8078ad9e6c14354a42fd35be43f5

Pith citing papers

Observation 066d7e73-d772-46b1-9cd4-209945b759a0 · inbound

Minimal cellular resolutions of monomial ideals with five generators and their Artinian reductions cites this paper.

Minimal cellular resolutions of monomial ideals with five generators and their Artinian reductions Morse resolutions of monomial ideals and Betti splittings

Reference 2

Resolution
verified exact
local_arxiv, observed 2026-08-08T16:43:06.059906Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-08T16:43:05.398060Z digest=sha256:5c9c47615b7e58bcdc8a17c79cbd07a8004c73478b5af886fd45712ac3343989