Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-12T13:37:57.689569Z
Paper Citation Record · LEDGER
On the atomicity of one-dimensional monoid algebras
As of 12 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 0 inbound Pith citation observations for arXiv:2411.16151.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
32 of 32 outbound references displayed
- verified exact2
- verified fuzzy13
- unresolved17
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 7ce1f037-65a0-45ef-a372-df58bef6a859 · outbound
This paper cites an unresolved cited work.
On the atomicity of one-dimensional monoid algebras Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T13:37:59.000738Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation ce977256-d6fb-4293-ba54-0e2570933af6 · outbound
This paper cites Albizu-Campos, J.
On the atomicity of one-dimensional monoid algebras Albizu-Campos, J
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T13:37:58.968320Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation c91545fa-b1f7-4987-8558-bd51ae78f2a0 · outbound
This paper cites an unresolved cited work.
On the atomicity of one-dimensional monoid algebras Unresolved cited work
Reference 3
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T13:37:58.946109Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation fa279617-afc3-4f14-931c-06280e35fdf9 · outbound
This paper cites Benelmekki and S.
On the atomicity of one-dimensional monoid algebras Benelmekki and S
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T13:37:58.901420Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 08047b2a-a1f3-4b75-86bf-1f1c3ffe870a · outbound
This paper cites an unresolved cited work.
On the atomicity of one-dimensional monoid algebras Unresolved cited work
Reference 5
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T13:37:57.342488Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9c863802-5b6c-4536-a657-7ee2be0a2629 · outbound
This paper cites an unresolved cited work.
On the atomicity of one-dimensional monoid algebras Unresolved cited work
Reference 6
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T13:37:58.853910Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation c92803d1-461c-4b67-a045-5309b510486b · outbound
This paper cites an unresolved cited work.
On the atomicity of one-dimensional monoid algebras Unresolved cited work
Reference 7
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T13:37:58.783273Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation ad143199-7992-4cf3-8037-5e9b18375efe · outbound
This paper cites an unresolved cited work.
On the atomicity of one-dimensional monoid algebras Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T13:37:58.740053Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation ca671ae9-eb1d-41bf-a1d3-7cb4e7495df3 · outbound
This paper cites an unresolved cited work.
On the atomicity of one-dimensional monoid algebras Unresolved cited work
Reference 9
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T13:37:57.367731Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0e59fb24-aa2b-4222-8c06-226015973675 · outbound
This paper cites Chun and D.
On the atomicity of one-dimensional monoid algebras Chun and D
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T13:37:58.698505Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation a04f57d6-b2f9-4c07-9584-4cc04fcdbfe0 · outbound
This paper cites an unresolved cited work.
On the atomicity of one-dimensional monoid algebras Unresolved cited work
Reference 11
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T13:37:58.646442Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation b4341b4f-41c6-4361-9d78-66fc1b743722 · outbound
This paper cites Coykendall, F.
On the atomicity of one-dimensional monoid algebras Coykendall, F
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T13:37:58.606548Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 3ae40693-8d2c-4265-9ec9-d016602d961b · outbound
This paper cites Atomicity in integral domains.
On the atomicity of one-dimensional monoid algebras Atomicity in integral domains
Reference 13
- Resolution
- verified exact
- local_arxiv, observed 2026-08-12T13:37:58.014414Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation d347d726-dcc4-485d-9a4d-d8792fe96c47 · outbound
This paper cites Fuchs, Infinite Abelian Groups I , Academic Press, 1970.
On the atomicity of one-dimensional monoid algebras Fuchs, Infinite Abelian Groups I , Academic Press, 1970
Reference 14
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T13:37:57.409715Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation de16e1f3-31d6-465d-841b-ae904e7f95a1 · outbound
This paper cites Geroldinger, F.
On the atomicity of one-dimensional monoid algebras Geroldinger, F
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T13:37:58.556079Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation d9aa0ab1-fd76-46ff-a868-64ee20606d6b · outbound
This paper cites Gilmer, Commutative Semigroup Rings , The University of Chicago Press, 1984.
On the atomicity of one-dimensional monoid algebras Gilmer, Commutative Semigroup Rings , The University of Chicago Press, 1984
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T13:37:58.533576Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 2fd36676-22a8-4345-b3f3-c7ab8f2be54f · outbound
This paper cites Gotti, Irreducibility and Factorizations in Monoid Rings , Numerical Semigroups 40 (2020) 129–139.
On the atomicity of one-dimensional monoid algebras Gotti, Irreducibility and Factorizations in Monoid Rings , Numerical Semigroups 40 (2020) 129–139
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T13:37:58.500827Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation f007e5ee-66e1-444d-ac74-834ba44f1ebc · outbound
This paper cites Gotti, On semigroup algebras with rational exponents , Comm.
On the atomicity of one-dimensional monoid algebras Gotti, On semigroup algebras with rational exponents , Comm
Reference 18
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T13:37:57.455982Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 55aa6e3b-f1e6-455c-8947-9b7e0f90631d · outbound
This paper cites Gotti and M.
On the atomicity of one-dimensional monoid algebras Gotti and M
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T13:37:58.463986Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 1c1d141b-c213-4a66-86c8-88a449160829 · outbound
This paper cites Gotti and B.
On the atomicity of one-dimensional monoid algebras Gotti and B
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T13:37:58.425104Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation da472b5b-9b55-47be-ba0d-7d45e0073e0a · outbound
This paper cites Divisibility and a weak ascending chain condition on principal ideals.
On the atomicity of one-dimensional monoid algebras Divisibility and a weak ascending chain condition on principal ideals
Reference 21
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T13:37:57.492172Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 11c4ae92-0f51-4b82-aa77-e62832e9a18b · outbound
This paper cites On the ascent of atomicity to monoid algebras.
On the atomicity of one-dimensional monoid algebras On the ascent of atomicity to monoid algebras
Reference 22
- Resolution
- verified exact
- local_arxiv, observed 2026-08-12T13:37:57.903752Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 19e7d99a-25c3-4d87-83ed-9692f9bb7c83 · outbound
This paper cites Gotti and J.
On the atomicity of one-dimensional monoid algebras Gotti and J
Reference 23
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T13:37:57.532232Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a4439a36-144b-4dd3-9318-b3b752855b58 · outbound
This paper cites Grams, Atomic rings and the ascending chain condition for principa l ideals , Math.
On the atomicity of one-dimensional monoid algebras Grams, Atomic rings and the ascending chain condition for principa l ideals , Math
Reference 24
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T13:37:57.540990Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6c19778f-0362-4e8d-a767-9a1d77dbcc5f · outbound
This paper cites an unresolved cited work.
On the atomicity of one-dimensional monoid algebras Unresolved cited work
Reference 25
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T13:37:58.321122Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation bb59de86-f922-44b4-924a-480c66426911 · outbound
This paper cites an unresolved cited work.
On the atomicity of one-dimensional monoid algebras Unresolved cited work
Reference 26
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T13:37:58.278159Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 41688002-f801-4b12-9413-44938daf3835 · outbound
This paper cites an unresolved cited work.
On the atomicity of one-dimensional monoid algebras Unresolved cited work
Reference 27
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T13:37:58.215425Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 5473c4d7-5894-49fd-9db0-6055a604af80 · outbound
This paper cites Okninski, Commutative monoid rings with krull dimension.
On the atomicity of one-dimensional monoid algebras Okninski, Commutative monoid rings with krull dimension
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T13:37:58.165819Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 0bff5b34-515a-4c4e-a39f-2ff7140b5224 · outbound
This paper cites Polo, On the set of lengths of Puiseux monoids generated by multipl e geometric sequences , Commun.
On the atomicity of one-dimensional monoid algebras Polo, On the set of lengths of Puiseux monoids generated by multipl e geometric sequences , Commun
Reference 29
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T13:37:58.138926Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation ad20d3a7-fe52-48ff-9813-6d94cc733152 · outbound
This paper cites Roitman, Polynomial extensions of atomic domains , J.
On the atomicity of one-dimensional monoid algebras Roitman, Polynomial extensions of atomic domains , J
Reference 30
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T13:37:57.628688Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b14156a4-7aab-40bd-a764-b070c47a21bf · outbound
This paper cites Tringali, A characterization of atomicity , Math.
On the atomicity of one-dimensional monoid algebras Tringali, A characterization of atomicity , Math
Reference 31
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T13:37:58.089101Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation bcf93b93-ff9d-49c6-a30c-2fcf7836a312 · outbound
This paper cites Zaks, Atomic rings without a.c.c.
On the atomicity of one-dimensional monoid algebras Zaks, Atomic rings without a.c.c
Reference 32
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T13:37:58.054513Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Pith citing papers
No inbound Pith citation observations are available.