Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-10T21:34:00.728056Z
Paper Citation Record · LEDGER
On the ascent of almost and quasi-atomicity to monoid semidomains
As of 14 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 2 inbound Pith citation observations for arXiv:2501.04990.
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 2026-08-13T06:32:02.005865+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-11T00:30:45.115254Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-07-04T19:30:07.618503Z
Reference resolution
32 of 32 outbound references displayed
- verified exact1
- verified fuzzy21
- unresolved10
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation fbf56b26-c173-4ad1-a367-95c1ca716b1e · outbound
This paper cites an unresolved cited work.
On the ascent of almost and quasi-atomicity to monoid semidomains Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T21:34:01.036653Z
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.
Observation 5153bbfc-a901-4ffd-b957-dab26910e886 · outbound
This paper cites an unresolved cited work.
On the ascent of almost and quasi-atomicity to monoid semidomains Unresolved cited work
Reference 2
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T21:34:01.028048Z
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.
Observation dcf6a1e4-08f9-4cdb-b00f-ea2522143603 · outbound
This paper cites an unresolved cited work.
On the ascent of almost and quasi-atomicity to monoid semidomains Unresolved cited work
Reference 3
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T21:34:01.019171Z
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.
Observation f5395701-8641-4332-87bc-eecdbf888e95 · outbound
This paper cites Boynton and J.
On the ascent of almost and quasi-atomicity to monoid semidomains Boynton and J
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T21:34:01.009935Z
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.
Observation 79c052d5-cde3-4783-9ec0-048a85f0dda5 · outbound
This paper cites an unresolved cited work.
On the ascent of almost and quasi-atomicity to monoid semidomains Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T21:34:01.000579Z
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.
Observation 6c2b04ba-61e7-464c-a366-b506a600bd1b · outbound
This paper cites an unresolved cited work.
On the ascent of almost and quasi-atomicity to monoid semidomains Unresolved cited work
Reference 6
- Resolution
- verified exact
- doi, observed 2026-08-10T21:34:00.757279Z
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.
Observation d0e4db41-6a21-45a1-8e3d-a36fd61237ef · outbound
This paper cites Chouinard, Krull semigroups and divisor class groups , Canad.
On the ascent of almost and quasi-atomicity to monoid semidomains Chouinard, Krull semigroups and divisor class groups , Canad
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T21:34:00.992195Z
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.
Observation 287eb995-d062-48c1-bb0f-b5e724c14b86 · outbound
This paper cites an unresolved cited work.
On the ascent of almost and quasi-atomicity to monoid semidomains Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T21:34:00.983426Z
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.
Observation 682858c3-1c2c-43c7-80af-62d8f4ca991e · outbound
This paper cites Coykendall and F.
On the ascent of almost and quasi-atomicity to monoid semidomains Coykendall and F
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T21:34:00.974786Z
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.
Observation 8d3f2220-34ef-4859-ba64-55db7c8ec4a2 · outbound
This paper cites Coykendall and F.
On the ascent of almost and quasi-atomicity to monoid semidomains Coykendall and F
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T21:34:00.966071Z
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.
Observation c489002b-4fc3-44f4-b7be-f3e027f64237 · outbound
This paper cites Coykendall, F.
On the ascent of almost and quasi-atomicity to monoid semidomains Coykendall, F
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T21:34:00.957353Z
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.
Observation 7e307a41-df90-4dce-948e-994d739b3fd0 · outbound
This paper cites Fuchs, Infinite Abelian Groups I , Academic Press, 1970.
On the ascent of almost and quasi-atomicity to monoid semidomains Fuchs, Infinite Abelian Groups I , Academic Press, 1970
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T21:34:00.948749Z
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.
Observation cf32f482-8071-4419-9132-76171a8f8e44 · outbound
This paper cites an unresolved cited work.
On the ascent of almost and quasi-atomicity to monoid semidomains Unresolved cited work
Reference 13
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T21:34:00.940020Z
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.
Observation 1339afbb-9ea8-459c-9f23-67e53cf25eab · outbound
This paper cites On monoid algebras having every nonempty subset of $\mathbb{N}_{\ge 2}$ as a length set.
On the ascent of almost and quasi-atomicity to monoid semidomains On monoid algebras having every nonempty subset of $\mathbb{N}_{\ge 2}$ as a length set
Reference 14
- Resolution
- unresolved
- no resolver link, observed 2026-08-10T21:34:00.672952Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d0e1f761-1b5e-49e6-b853-d271e9ca5859 · outbound
This paper cites Geroldinger and Q.
On the ascent of almost and quasi-atomicity to monoid semidomains Geroldinger and Q
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T21:34:00.931674Z
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.
Observation f3ea491a-cf4f-42ad-886b-074ff3ca7704 · outbound
This paper cites Gilmer, Commutative Semigroup Rings , The University of Chicago Press, 1984.
On the ascent of almost and quasi-atomicity to monoid semidomains Gilmer, Commutative Semigroup Rings , The University of Chicago Press, 1984
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T21:34:00.923264Z
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.
Observation 1843c686-8d0c-489d-8b0f-4b27e6c97563 · outbound
This paper cites Gilmer and T.
On the ascent of almost and quasi-atomicity to monoid semidomains Gilmer and T
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T21:34:00.914209Z
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.
Observation b1ba9ac4-eef1-4a7e-a45d-3f9a023ac1b6 · outbound
This paper cites Gotti, Increasing positive monoids of ordered fields are FF-monoid s, J.
On the ascent of almost and quasi-atomicity to monoid semidomains Gotti, Increasing positive monoids of ordered fields are FF-monoid s, J
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T21:34:00.905419Z
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.
Observation 5efc2f87-594f-4102-9506-821114e01c38 · outbound
This paper cites Gotti and B.
On the ascent of almost and quasi-atomicity to monoid semidomains Gotti and B
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T21:34:00.896361Z
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.
Observation f209945f-97df-438a-a7c2-e3bb47e54687 · outbound
This paper cites Gotti and H.
On the ascent of almost and quasi-atomicity to monoid semidomains Gotti and H
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T21:34:00.886889Z
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.
Observation daf94dec-be6d-4095-9de4-6f95cfe2f40a · outbound
This paper cites Gotti and H.
On the ascent of almost and quasi-atomicity to monoid semidomains Gotti and H
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T21:34:00.878367Z
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.
Observation 33ac1b7b-df10-4801-9188-146f62465d22 · outbound
This paper cites Gotti and H.
On the ascent of almost and quasi-atomicity to monoid semidomains Gotti and H
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T21:34:00.870000Z
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.
Observation a16f803b-0d18-4031-9bfc-a112271b25e7 · outbound
This paper cites Grams, Atomic rings and the ascending chain condition for principa l ideals , Math.
On the ascent of almost and quasi-atomicity to monoid semidomains Grams, Atomic rings and the ascending chain condition for principa l ideals , Math
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T21:34:00.861586Z
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.
Observation 5998ef2a-8842-4064-ad60-990d052ad389 · outbound
This paper cites Hilbert, ¨Uber die Theorie der algebraischen Formen , Mathematische Annalen 36 (1890) 473–534.
On the ascent of almost and quasi-atomicity to monoid semidomains Hilbert, ¨Uber die Theorie der algebraischen Formen , Mathematische Annalen 36 (1890) 473–534
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T21:34:00.852638Z
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.
Observation 5e32f9e2-9231-44db-ade7-04694bc6f15a · outbound
This paper cites an unresolved cited work.
On the ascent of almost and quasi-atomicity to monoid semidomains Unresolved cited work
Reference 25
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T21:34:00.843841Z
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.
Observation 85fdcd5d-9b74-4c4a-8baf-2015ddb500b3 · outbound
This paper cites an unresolved cited work.
On the ascent of almost and quasi-atomicity to monoid semidomains Unresolved cited work
Reference 26
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T21:34:00.835275Z
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.
Observation 33fb628d-c243-404c-b9b7-67097e18b645 · outbound
This paper cites Lebowitz-Lockard, On domains with properties weaker than atomicity , Comm.
On the ascent of almost and quasi-atomicity to monoid semidomains Lebowitz-Lockard, On domains with properties weaker than atomicity , Comm
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T21:34:00.825936Z
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.
Observation 97564c6c-8219-4bd3-befd-a5f04ccc5e2e · outbound
This paper cites Lidl and H.
On the ascent of almost and quasi-atomicity to monoid semidomains Lidl and H
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T21:34:00.815237Z
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.
Observation 1bcc5b70-0c5c-4abb-a1dd-586285a34022 · outbound
This paper cites an unresolved cited work.
On the ascent of almost and quasi-atomicity to monoid semidomains Unresolved cited work
Reference 29
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T21:34:00.805524Z
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.
Observation aaea4238-1777-4c58-9e18-acc82e31eede · outbound
This paper cites Malcolmson and F.
On the ascent of almost and quasi-atomicity to monoid semidomains Malcolmson and F
Reference 30
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T21:34:00.795639Z
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.
Observation c1da706d-8537-47b5-9422-1e65c63c7f53 · outbound
This paper cites Roitman, On the atomic property for power series rings , J.
On the ascent of almost and quasi-atomicity to monoid semidomains Roitman, On the atomic property for power series rings , J
Reference 31
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T21:34:00.785970Z
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.
Observation 3342ab76-aea2-4f54-982f-2a0d5b5660c7 · outbound
This paper cites Roitman, Polynomial extensions of atomic domains , J.
On the ascent of almost and quasi-atomicity to monoid semidomains Roitman, Polynomial extensions of atomic domains , J
Reference 32
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T21:34:00.776682Z
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.
Pith citing papers
Observation 0d473e30-7934-4add-b60e-f3afcd686038 · inbound
On near atomicity and a characterization of the FF property cites this paper.
On near atomicity and a characterization of the FF property On the ascent of almost and quasi-atomicity to monoid semidomains
Reference 15
- Resolution
- verified exact
- arxiv_id, observed 2026-07-04T19:30:07.619802Z
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.
Observation 307b7e1d-b995-45a0-a09a-3502040a8d06 · inbound
(Locally) Associated Subrings in Polynomial and Power Series Extensions cites this paper.
(Locally) Associated Subrings in Polynomial and Power Series Extensions On the ascent of almost and quasi-atomicity to monoid semidomains
Reference 15
- Resolution
- unresolved
- no resolver link, observed 2026-08-11T00:30:45.115254Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.