Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T05:27:23.332518Z
Paper Citation Record · LEDGER
On ideals of product of commutative rings and their applications
As of 8 August 2026, this Paper Citation Record lists 33 of 33 outbound references and 0 inbound Pith citation observations for arXiv:2506.08537.
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 2026-08-07T06:34:17.273281+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
33 of 33 outbound references displayed
- verified exact0
- verified fuzzy21
- unresolved12
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation ab5f6844-907b-41a1-9601-b45afc6c6a9b · outbound
This paper cites Abdollahpour, A.
On ideals of product of commutative rings and their applications Abdollahpour, A
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:27:23.649269Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 8adc9fdd-fca8-4a55-a47a-5e921b9befe4 · outbound
This paper cites an unresolved cited work.
On ideals of product of commutative rings and their applications Unresolved cited work
Reference 2
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T05:27:23.640334Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 972b1745-3fb6-4925-b15d-e4ffbfdd1da3 · outbound
This paper cites an unresolved cited work.
On ideals of product of commutative rings and their applications Unresolved cited work
Reference 3
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T05:27:23.631304Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 02a9ae18-77c5-4a3d-a4c7-da1ddd244c76 · outbound
This paper cites an unresolved cited work.
On ideals of product of commutative rings and their applications Unresolved cited work
Reference 4
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T05:27:23.622548Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 62766667-be9d-4cc4-91d9-71932c974ed0 · outbound
This paper cites an unresolved cited work.
On ideals of product of commutative rings and their applications Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T05:27:23.613337Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation a4dfb0bc-06c0-448d-822e-50240c58d4f6 · outbound
This paper cites an unresolved cited work.
On ideals of product of commutative rings and their applications Unresolved cited work
Reference 6
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T05:27:23.603616Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 6b54c29c-66f5-4a7c-95c4-9fec9a8c01ac · outbound
This paper cites an unresolved cited work.
On ideals of product of commutative rings and their applications Unresolved cited work
Reference 7
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T05:27:23.594067Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 722c59d7-bf14-4ffa-89b7-646455b80cc8 · outbound
This paper cites an unresolved cited work.
On ideals of product of commutative rings and their applications Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T05:27:23.585667Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 6fa20497-bc4d-4b79-96d1-15b91734b23e · outbound
This paper cites an unresolved cited work.
On ideals of product of commutative rings and their applications Unresolved cited work
Reference 9
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T05:27:23.577362Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 7641b999-bc7c-4747-9b08-afddb4efe677 · outbound
This paper cites Dikranjan and W.
On ideals of product of commutative rings and their applications Dikranjan and W
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:27:23.568355Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation f2d62a72-d1fb-4335-a585-3d71c092f9d1 · outbound
This paper cites an unresolved cited work.
On ideals of product of commutative rings and their applications Unresolved cited work
Reference 11
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T05:27:23.559940Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 19779b4d-7b4f-495e-aee2-b77290dfc5bb · outbound
This paper cites an unresolved cited work.
On ideals of product of commutative rings and their applications Unresolved cited work
Reference 12
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T05:27:23.551074Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 69ece09e-5f57-4b81-b0a9-c9970215dd23 · outbound
This paper cites Gillman, Rings with Hausdorff structure space , Fund.
On ideals of product of commutative rings and their applications Gillman, Rings with Hausdorff structure space , Fund
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:27:23.542425Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 3e15233e-587a-4fec-bae9-1b498de47ff8 · outbound
This paper cites Gillman and M.
On ideals of product of commutative rings and their applications Gillman and M
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:27:23.533333Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 90295ab7-b94b-4d4f-b098-e16669b808fa · outbound
This paper cites Gillman and M.
On ideals of product of commutative rings and their applications Gillman and M
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:27:23.524647Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 8a6995ca-14fa-4719-b50f-343f65be099f · outbound
This paper cites Gilmer and W.
On ideals of product of commutative rings and their applications Gilmer and W
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:27:23.516164Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation de3048a8-fd8b-4d61-87db-2dae79b14793 · outbound
This paper cites Gilmer and W.
On ideals of product of commutative rings and their applications Gilmer and W
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:27:23.507553Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 12b422d3-d847-431a-abf2-35bafb924c75 · outbound
This paper cites Gilmer and W.
On ideals of product of commutative rings and their applications Gilmer and W
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:27:23.498541Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 9b7407d8-f31b-4e9b-9ab6-55341d0e2baf · outbound
This paper cites Gr¨ atzer,Lattice Theory, Foundation, Springer Basel AG, 2011.
On ideals of product of commutative rings and their applications Gr¨ atzer,Lattice Theory, Foundation, Springer Basel AG, 2011
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:27:23.490116Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 0fdfe734-d1ce-438a-a7be-3606af756eeb · outbound
This paper cites Hashemi, On the ∩-structure spaces, J.
On ideals of product of commutative rings and their applications Hashemi, On the ∩-structure spaces, J
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:27:23.480431Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation ed9c7f81-4acd-49bd-ad16-b2779d839ada · outbound
This paper cites Henriksen and M.
On ideals of product of commutative rings and their applications Henriksen and M
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:27:23.471877Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 41714ab2-9cf3-4570-acc4-b77e87919f04 · outbound
This paper cites Kim, Almost P-spaces, Commun.
On ideals of product of commutative rings and their applications Kim, Almost P-spaces, Commun
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:27:23.462918Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation fb39ab52-6f94-4438-94e7-5d508e052c09 · outbound
This paper cites Kohls, The space of prime ideals of a ring , Fund.
On ideals of product of commutative rings and their applications Kohls, The space of prime ideals of a ring , Fund
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:27:23.453909Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 047c70c7-da23-4a76-a8a4-c9c286a5017a · outbound
This paper cites an unresolved cited work.
On ideals of product of commutative rings and their applications Unresolved cited work
Reference 24
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T05:27:23.444986Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation dc06fb37-076f-48d5-8807-af230df4a59d · outbound
This paper cites Levy, Almost-P-spaces, Canad.
On ideals of product of commutative rings and their applications Levy, Almost-P-spaces, Canad
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:27:23.436192Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation db36d374-87ed-4404-a31b-c5805c10d2cb · outbound
This paper cites an unresolved cited work.
On ideals of product of commutative rings and their applications Unresolved cited work
Reference 26
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T05:27:23.427070Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation c5eeceb4-36e9-4fd7-81e8-2f5e95ae0c78 · outbound
This paper cites Mason, z-ideals and Prime ideals , J.
On ideals of product of commutative rings and their applications Mason, z-ideals and Prime ideals , J
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:27:23.418060Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 0b00c569-b64e-4408-a539-1567d57fcc7d · outbound
This paper cites Olberding and J.
On ideals of product of commutative rings and their applications Olberding and J
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:27:23.408621Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation b3fc8d16-01f2-47d4-8887-1f4c8a26026f · outbound
This paper cites Sharp, Steps in commutative algebra , Cambridge university press, 2000.
On ideals of product of commutative rings and their applications Sharp, Steps in commutative algebra , Cambridge university press, 2000
Reference 29
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:27:23.398598Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation edd0570d-7a22-4f00-b0e1-403f0c224041 · outbound
This paper cites Tarizadeh, On the projectivity of finitely generated flat modules, Extracta Math.
On ideals of product of commutative rings and their applications Tarizadeh, On the projectivity of finitely generated flat modules, Extracta Math
Reference 30
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:27:23.388193Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation b592505f-f66f-4ad2-bce9-ad54e2df79f9 · outbound
This paper cites Tarizadeh and N.
On ideals of product of commutative rings and their applications Tarizadeh and N
Reference 31
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:27:23.378800Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation bb0ca284-c4b1-4dc8-81c0-7d5ca101895d · outbound
This paper cites Walker, The Stone- ˇCech compactification, Springer-Verlag, Berlin and New York, 1974.
On ideals of product of commutative rings and their applications Walker, The Stone- ˇCech compactification, Springer-Verlag, Berlin and New York, 1974
Reference 32
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:27:23.369540Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 824f59e7-194e-41e0-ac4c-e00d41b4c80b · outbound
This paper cites Willard, General topology, Addison-Wesley Series, New York, 1970.
On ideals of product of commutative rings and their applications Willard, General topology, Addison-Wesley Series, New York, 1970
Reference 33
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:27:23.359769Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Pith citing papers
No inbound Pith citation observations are available.