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Paper Citation Record · LEDGER

Nilpotency and Frattini theory for transposed Poisson algebras

As of 6 August 2026, this Paper Citation Record lists 36 of 36 outbound references and 2 inbound Pith citation observations for arXiv:2604.25586.

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

pith.paper-citation-record.v1
2604.25586 v2

Coverage vector

measured 36 of 36 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-07T13:55:09.986889Z

measured 38 of 38 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-06T06:34:29.942622+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-14T18:28:26.501572Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-02T00:46:23.591369Z

Reference resolution

36 of 36 outbound references displayed

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  • verified fuzzy29
  • unresolved5
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External citation measurements

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Outbound references

Observation 080739f3-9dcd-4be6-8ebc-c749ba79ee74 · outbound

This paper cites Abdelwahab, E.

Nilpotency and Frattini theory for transposed Poisson algebras Abdelwahab, E

Reference 1

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Observation d740d96d-54f4-4d67-ba31-c22cd89d3f8a · outbound

This paper cites an unresolved cited work.

Nilpotency and Frattini theory for transposed Poisson algebras Unresolved cited work

Reference 2

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Observation 3a825aea-9b18-4da2-af94-0df8a1994bc7 · outbound

This paper cites Barnes, On the cohomology of soluble Lie algebras,Math.

Nilpotency and Frattini theory for transposed Poisson algebras Barnes, On the cohomology of soluble Lie algebras,Math

Reference 3

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Observation 03a00b15-6cb6-4a54-832d-bc536fc6fdb8 · outbound

This paper cites Barnes and H.

Nilpotency and Frattini theory for transposed Poisson algebras Barnes and H

Reference 4

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Observation 3c225941-5c89-4ff8-ad0e-18afc7aa0ab4 · outbound

This paper cites Beites, A.

Nilpotency and Frattini theory for transposed Poisson algebras Beites, A

Reference 5

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Observation 273aba9f-f3f6-4c5e-aa51-fcd5e2bde0b6 · outbound

This paper cites an unresolved cited work.

Nilpotency and Frattini theory for transposed Poisson algebras Unresolved cited work

Reference 6

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Observation 898530f9-addf-40c3-a1bf-457ed99df768 · outbound

This paper cites an unresolved cited work.

Nilpotency and Frattini theory for transposed Poisson algebras Unresolved cited work

Reference 7

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Observation 7fef3c1e-f308-46ce-9b7f-0425ba528a4d · outbound

This paper cites Chen and C.

Nilpotency and Frattini theory for transposed Poisson algebras Chen and C

Reference 8

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Observation 99d4fb52-1b46-4033-a67b-c5f2902505d8 · outbound

This paper cites an unresolved cited work.

Nilpotency and Frattini theory for transposed Poisson algebras Unresolved cited work

Reference 9

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Observation 515b1b08-923f-4194-b6b9-30acd7c987b1 · outbound

This paper cites Fern ´andez Ouaridi, On the simple transposed Poisson algebras and Jordan superalgebras,J.

Nilpotency and Frattini theory for transposed Poisson algebras Fern ´andez Ouaridi, On the simple transposed Poisson algebras and Jordan superalgebras,J

Reference 10

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Observation 1fbaa418-1bca-4120-af53-4995e6acf92a · outbound

This paper cites Fern ´andez Ouaridi and B.

Nilpotency and Frattini theory for transposed Poisson algebras Fern ´andez Ouaridi and B

Reference 11

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Observation d9719fd1-df10-479c-a5bc-1cf9598f241d · outbound

This paper cites Fern ´andez Ouaridi, R.

Nilpotency and Frattini theory for transposed Poisson algebras Fern ´andez Ouaridi, R

Reference 12

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Observation c884fa55-8f79-4c1a-8045-e63bc6fc57d3 · outbound

This paper cites Frattini, Intorno alla generazione dei gruppi di operazioni,Rom.

Nilpotency and Frattini theory for transposed Poisson algebras Frattini, Intorno alla generazione dei gruppi di operazioni,Rom

Reference 13

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Observation c4183b9d-48fc-489e-8cd4-e5c2b131489d · outbound

This paper cites Leger and E.

Nilpotency and Frattini theory for transposed Poisson algebras Leger and E

Reference 14

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Observation a1ef2887-9fe8-48bf-bf97-1777624a5cd1 · outbound

This paper cites Ferreira, I.

Nilpotency and Frattini theory for transposed Poisson algebras Ferreira, I

Reference 15

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Observation 84330196-ac1e-4df6-8411-0994bb046686 · outbound

This paper cites Goze and E.

Nilpotency and Frattini theory for transposed Poisson algebras Goze and E

Reference 16

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Observation 98b3fd90-4849-40bc-bde7-f7e09c386525 · outbound

This paper cites Hartwig, D.

Nilpotency and Frattini theory for transposed Poisson algebras Hartwig, D

Reference 17

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raw_fallback, observed 2026-05-27T05:03:35.679638Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-07T13:55:09.986889Z digest=sha256:4ec41da607135d8cf8a8c3fb1db51e78183c8108eae7f7295098ea8c3252ec31

Observation b560e23e-a3b9-40af-881b-d6bf35679826 · outbound

This paper cites Kantor, Jordan and Lie superalgebras defined by Poisson algebra,Am.

Nilpotency and Frattini theory for transposed Poisson algebras Kantor, Jordan and Lie superalgebras defined by Poisson algebra,Am

Reference 18

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No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

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Observation b4d01f61-84ce-453b-a39a-2f6d80bc2c08 · outbound

This paper cites Kaygorodov and A.

Nilpotency and Frattini theory for transposed Poisson algebras Kaygorodov and A

Reference 19

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Observation dc829629-862e-4677-a176-c3a5a42d29a8 · outbound

This paper cites Kaygorodov, A.

Nilpotency and Frattini theory for transposed Poisson algebras Kaygorodov, A

Reference 20

Resolution
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raw_fallback, observed 2026-05-27T05:03:35.734212Z

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source=pdf_text observed=2026-05-07T13:55:09.986889Z digest=sha256:08bf046ac38907714bb67c92a69f7c2384475bed841e52d6ae8ec2f08985e233

Observation d0896fa9-e438-4589-9564-dd1d62a10582 · outbound

This paper cites Kaygorodov and M.

Nilpotency and Frattini theory for transposed Poisson algebras Kaygorodov and M

Reference 21

Resolution
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raw_fallback, observed 2026-05-27T05:03:35.676531Z

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No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-07T13:55:09.986889Z digest=sha256:b51a6d9383107bde28e70d78947a5c8e26f4e2879e7d3c0e4d71573df2d51555

Observation ce456f59-e60b-40ce-a238-7884b8515e0b · outbound

This paper cites Lichnerowicz, Les vari ´et´es de Poisson et leurs alg `ebres de Lie associ ´ees,J.

Nilpotency and Frattini theory for transposed Poisson algebras Lichnerowicz, Les vari ´et´es de Poisson et leurs alg `ebres de Lie associ ´ees,J

Reference 22

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Observation da14fa20-96e9-4249-97dc-8363ee651fae · outbound

This paper cites Liu and C.

Nilpotency and Frattini theory for transposed Poisson algebras Liu and C

Reference 23

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raw_fallback, observed 2026-05-27T05:03:35.770469Z

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No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

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Observation 5c1d15d5-7c88-4cf5-a769-4caef18c5430 · outbound

This paper cites Loday, Dialgebras, in: Dialgebras and Related Operads, Lecture Notes in Math., vol.

Nilpotency and Frattini theory for transposed Poisson algebras Loday, Dialgebras, in: Dialgebras and Related Operads, Lecture Notes in Math., vol

Reference 24

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Observation ffe62948-7915-4042-8e1e-ad031fc2222f · outbound

This paper cites A Frattini theory for evolution algebras.

Nilpotency and Frattini theory for transposed Poisson algebras A Frattini theory for evolution algebras

Reference 25

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arxiv_id, observed 2026-05-12T08:46:25.413372Z

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No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-07T13:55:09.986889Z digest=sha256:4e80ef56084f4e4be02d33af08d4a4d33658f6d7c9556a4639e05116359b5147

Observation 84e2d53d-305a-4007-8eec-2fcf3230926e · outbound

This paper cites Lincoln and D.

Nilpotency and Frattini theory for transposed Poisson algebras Lincoln and D

Reference 26

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raw_fallback, observed 2026-05-27T05:03:35.776697Z

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source=pdf_text observed=2026-05-07T13:55:09.986889Z digest=sha256:356a7d9ac34b4aa192d05ac853d194235a656cbc46ef834047101d628592dc4d

Observation ca43f12a-5308-486c-9dfe-dc0f4b5047f3 · outbound

This paper cites Marshall, The Frattini subalgebra of a Lie algebra,J.

Nilpotency and Frattini theory for transposed Poisson algebras Marshall, The Frattini subalgebra of a Lie algebra,J

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-05-27T05:03:35.767186Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-07T13:55:09.986889Z digest=sha256:f703b1c7cf7e347d02a4755c2e26b0c9dfebf908b9d20de48a7f8fb96ce8ef26

Observation 94a10ed6-7120-44ba-b02b-8d20f8392038 · outbound

This paper cites Sartayev, Some generalizations of the variety of transposed Poisson algebras,Comm.

Nilpotency and Frattini theory for transposed Poisson algebras Sartayev, Some generalizations of the variety of transposed Poisson algebras,Comm

Reference 28

Resolution
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raw_fallback, observed 2026-05-27T05:03:35.755958Z

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No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-07T13:55:09.986889Z digest=sha256:c31361331d93595ab28acd65b68102536a2cbf808000fc412ffcfedfa28441bc

Observation fabd03c8-ef58-4d2d-8322-d88a0c4e3cdd · outbound

This paper cites Stitzinger, A non-imbedding theorem of associative algebras,Pacific J.

Nilpotency and Frattini theory for transposed Poisson algebras Stitzinger, A non-imbedding theorem of associative algebras,Pacific J

Reference 29

Resolution
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raw_fallback, observed 2026-05-27T05:03:35.751235Z

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No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-07T13:55:09.986889Z digest=sha256:eafd695762bf9caa1ff5835588b8c34e3d97ba1166924ddd90d4d19930b2e6d3

Observation 7e82b180-1a0d-4471-9e19-8d438195e7ed · outbound

This paper cites Towers, A Frattini theory for algebras,Proc.

Nilpotency and Frattini theory for transposed Poisson algebras Towers, A Frattini theory for algebras,Proc

Reference 30

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raw_fallback, observed 2026-05-27T05:03:35.759481Z

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No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-07T13:55:09.986889Z digest=sha256:421754c30b9800c7e648daf8d6e4816067251ff101d5b24839658839b1012f7b

Observation 020dd626-d2fe-4bd5-a7d9-a683b24823b7 · outbound

This paper cites Towers, Nilpotency, solvability and Frattini theory for Poisson algebras,J.

Nilpotency and Frattini theory for transposed Poisson algebras Towers, Nilpotency, solvability and Frattini theory for Poisson algebras,J

Reference 31

Resolution
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doi, observed 2026-05-09T03:09:54.012241Z

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No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-07T13:55:09.986889Z digest=sha256:f83655c7d105d10b23dccfe1f64290abc4a58861d1689f4fe0c09a32c873f356

Observation dbabab96-92ad-4602-aee7-e53b74c719bc · outbound

This paper cites Towers, Nilpotency, solvability and Frattini theory for bicommutative, assosymmetric and Novikov alge- bras.Commun.

Nilpotency and Frattini theory for transposed Poisson algebras Towers, Nilpotency, solvability and Frattini theory for bicommutative, assosymmetric and Novikov alge- bras.Commun

Reference 32

Resolution
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raw_fallback, observed 2026-05-27T05:03:35.763646Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-07T13:55:09.986889Z digest=sha256:419c295c809cb9ed090162113b341a2fac9c64cc5e60fbd8a318d3e96ed48753

Observation 65e42ac9-4c6a-4421-a126-cecc5c6210c7 · outbound

This paper cites Towers, On the generators of a nilpotent non-associative algebra,Quart.

Nilpotency and Frattini theory for transposed Poisson algebras Towers, On the generators of a nilpotent non-associative algebra,Quart

Reference 33

Resolution
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raw_fallback, observed 2026-05-27T05:03:35.748024Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-07T13:55:09.986889Z digest=sha256:42d0a5c3b913622baf66349233334887e2dfc455cb8d8f096f872d71ffe0dec5

Observation f052c268-136b-487c-96b0-bf22d3efed50 · outbound

This paper cites Weinstein, Lecture on Symplectic Manifolds,CBMS Regional Conference Series in Mathematics29, Amer.

Nilpotency and Frattini theory for transposed Poisson algebras Weinstein, Lecture on Symplectic Manifolds,CBMS Regional Conference Series in Mathematics29, Amer

Reference 34

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raw_fallback, observed 2026-05-27T05:03:35.737338Z

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No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-07T13:55:09.986889Z digest=sha256:e2ba590963b31e29ce737a425fd0f8fbcb77abd86dc8e1995b3abd26c50e58ae

Observation b2c63d9e-f2b8-49bf-a9a0-fefafee69a37 · outbound

This paper cites Yuan and Q.

Nilpotency and Frattini theory for transposed Poisson algebras Yuan and Q

Reference 35

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raw_fallback, observed 2026-05-27T05:03:35.740913Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

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Observation 67eb7069-00fb-4f68-b95a-ca0a21ab174b · outbound

This paper cites an unresolved cited work.

Nilpotency and Frattini theory for transposed Poisson algebras Unresolved cited work

Reference 36

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Pith citing papers

Observation dab98441-25c4-4a83-b913-8f7fbf893b44 · inbound

Solvability and nilpotency of transposed Novikov-Poisson algebras cites this paper.

Solvability and nilpotency of transposed Novikov-Poisson algebras Nilpotency and Frattini theory for transposed Poisson algebras

Reference 19

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Gelfand--Dorfman Algebras: Nilpotency, Solvability, Construction and Classification cites this paper.

Gelfand--Dorfman Algebras: Nilpotency, Solvability, Construction and Classification Nilpotency and Frattini theory for transposed Poisson algebras

Reference 18

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