Paper Citation Record · LEDGER

A Serre-type criterion for $n$-Gorenstein rings and its application to Nakayama algebras

As of 19 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 0 inbound Pith citation observations for arXiv:2607.17497.

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

pith.paper-citation-record.v1
2607.17497 v2

Coverage vector

measured 25 of 25 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-04T04:23:35.731941Z

measured 25 of 25 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

25 of 25 outbound references displayed

verified exact0
verified fuzzy0
unresolved25
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 3cc47f44-14ab-4e9b-b242-67bb0a3f7be2 · outbound

This paper cites Auslander, I.

A Serre-type criterion for $n$-Gorenstein rings and its application to Nakayama algebras Auslander, I

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-04T04:23:32.706862Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c9d64a47-1eac-430d-b129-c50f1c104e9b · outbound

This paper cites Auslander, I.

A Serre-type criterion for $n$-Gorenstein rings and its application to Nakayama algebras Auslander, I

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-04T04:23:32.858001Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d5f5a4e9-5b06-40cd-9dcd-aee6ac155b70 · outbound

This paper cites Bass,Injective dimension in noetherian rings, Trans.

A Serre-type criterion for $n$-Gorenstein rings and its application to Nakayama algebras Bass,Injective dimension in noetherian rings, Trans

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-04T04:23:33.027578Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 384d3a36-89f2-430e-a74b-815884d51d7d · outbound

This paper cites Bass,On the ubiquity of Gorenstein rings, Math.

A Serre-type criterion for $n$-Gorenstein rings and its application to Nakayama algebras Bass,On the ubiquity of Gorenstein rings, Math

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-04T04:23:33.166777Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0dd4ec8e-dd24-412b-8325-02bddfbd09eb · outbound

This paper cites Bruns, J.

A Serre-type criterion for $n$-Gorenstein rings and its application to Nakayama algebras Bruns, J

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-04T04:23:33.240376Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4d3e1c37-d1c9-467a-ae3b-2737bfe8a5bf · outbound

This paper cites Faith and E.

A Serre-type criterion for $n$-Gorenstein rings and its application to Nakayama algebras Faith and E

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-04T04:23:33.397759Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 010b40f3-bcbf-4e53-8d5f-e9d269abb9cd · outbound

This paper cites an unresolved cited work.

A Serre-type criterion for $n$-Gorenstein rings and its application to Nakayama algebras Unresolved cited work

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-04T04:23:33.525028Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 59a32288-22b6-4886-87a9-938ed2260db1 · outbound

This paper cites an unresolved cited work.

A Serre-type criterion for $n$-Gorenstein rings and its application to Nakayama algebras Unresolved cited work

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-04T04:23:33.640206Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d4b84a17-4c77-4732-8f0e-9727a70e5c02 · outbound

This paper cites Gabriel,Des cat´ egories ab´ eliennes, Bull.

A Serre-type criterion for $n$-Gorenstein rings and its application to Nakayama algebras Gabriel,Des cat´ egories ab´ eliennes, Bull

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-04T04:23:33.773753Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 422f86f5-e8e7-4811-8d3e-9f6d2cc3a7be · outbound

This paper cites Iyama,Auslander correspondence, Adv.

A Serre-type criterion for $n$-Gorenstein rings and its application to Nakayama algebras Iyama,Auslander correspondence, Adv

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-04T04:23:33.917268Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1f1acf40-c412-4455-9658-776589bbf004 · outbound

This paper cites Iyama, R.

A Serre-type criterion for $n$-Gorenstein rings and its application to Nakayama algebras Iyama, R

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-04T04:23:34.052784Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a117f717-09a5-4144-a497-aa99e10d4041 · outbound

This paper cites The Auslander-Gorenstein condition for monomial algebras.

A Serre-type criterion for $n$-Gorenstein rings and its application to Nakayama algebras The Auslander-Gorenstein condition for monomial algebras

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-04T04:23:34.151804Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2c2c8681-b528-424d-a014-5195d2668c32 · outbound

This paper cites Kl´ asz, M.

A Serre-type criterion for $n$-Gorenstein rings and its application to Nakayama algebras Kl´ asz, M

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-04T04:23:34.329162Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 03254a72-b18b-4343-987c-0c52bae7a438 · outbound

This paper cites Auslander regular algebras and Coxeter matrices.

A Serre-type criterion for $n$-Gorenstein rings and its application to Nakayama algebras Auslander regular algebras and Coxeter matrices

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-04T04:23:34.448038Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 40d895e5-92cc-40ac-9228-4c5ce7434648 · outbound

This paper cites an unresolved cited work.

A Serre-type criterion for $n$-Gorenstein rings and its application to Nakayama algebras Unresolved cited work

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-04T04:23:34.561575Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b5f1d6ff-21ba-4e9f-bb92-4587d59760ec · outbound

This paper cites an unresolved cited work.

A Serre-type criterion for $n$-Gorenstein rings and its application to Nakayama algebras Unresolved cited work

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-04T04:23:34.688791Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4880f982-0bf8-4261-8c7c-7a7bd31ca5c7 · outbound

This paper cites Lazard,Autour de la platitude, Bull.

A Serre-type criterion for $n$-Gorenstein rings and its application to Nakayama algebras Lazard,Autour de la platitude, Bull

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-04T04:23:34.835663Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d395f9c4-e8d5-4838-b10e-06dd19a382bf · outbound

This paper cites Reiten, R.

A Serre-type criterion for $n$-Gorenstein rings and its application to Nakayama algebras Reiten, R

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-04T04:23:34.978299Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4df4556a-066e-4e09-8f94-77c508130e46 · outbound

This paper cites an unresolved cited work.

A Serre-type criterion for $n$-Gorenstein rings and its application to Nakayama algebras Unresolved cited work

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-04T04:23:35.109748Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ec9b2ffb-e13f-40a6-a688-80d5b5688b3e · outbound

This paper cites an unresolved cited work.

A Serre-type criterion for $n$-Gorenstein rings and its application to Nakayama algebras Unresolved cited work

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-04T04:23:35.238580Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 34632e61-c287-4871-9fc5-b98dc4dabaa3 · outbound

This paper cites Syzygy Filtrations of Cyclic Nakayama Algebras.

A Serre-type criterion for $n$-Gorenstein rings and its application to Nakayama algebras Syzygy Filtrations of Cyclic Nakayama Algebras

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-04T04:23:35.349706Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 767eefff-054b-427f-87f1-e7918318cd04 · outbound

This paper cites Shen,The resolution quiver of Nakayama algebras which are minimal Auslander- Gorenstein, J.

A Serre-type criterion for $n$-Gorenstein rings and its application to Nakayama algebras Shen,The resolution quiver of Nakayama algebras which are minimal Auslander- Gorenstein, J

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-04T04:23:35.479337Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 610d6bf2-b9d7-4b28-a5e0-d54537b7b334 · outbound

This paper cites Skryabin,On Gorensteinness of Hopf module algebras, Glasgow Math.

A Serre-type criterion for $n$-Gorenstein rings and its application to Nakayama algebras Skryabin,On Gorensteinness of Hopf module algebras, Glasgow Math

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-04T04:23:35.564768Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 660f5f50-9e1c-4cae-8a48-38b733a694f7 · outbound

This paper cites Van Oystaeyen,Algebraic geometry for associative algebras, Monographs and Textbooks in Pure and Applied Mathematics, Vol.

A Serre-type criterion for $n$-Gorenstein rings and its application to Nakayama algebras Van Oystaeyen,Algebraic geometry for associative algebras, Monographs and Textbooks in Pure and Applied Mathematics, Vol

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-04T04:23:35.661996Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1b7b0510-340c-4598-aabe-213cb8c01b73 · outbound

This paper cites Zaks,Injective dimension of semi-primary rings, J.

A Serre-type criterion for $n$-Gorenstein rings and its application to Nakayama algebras Zaks,Injective dimension of semi-primary rings, J

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-04T04:23:35.731941Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.