Paper Citation Record · LEDGER

Bialgebra theory, the Yang-Baxter equation and relative Rota-Baxter operators for diassociative algebras

As of 7 August 2026, this Paper Citation Record lists 41 of 41 outbound references and 0 inbound Pith citation observations for arXiv:2606.08627.

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pith.paper-citation-record.v1
2606.08627 v1

Coverage vector

measured 41 of 41 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-06-27T17:28:30.609864Z

measured 41 of 41 standing notices

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Reference resolution

41 of 41 outbound references displayed

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Outbound references

Observation 2cfd9ba1-81d5-40d9-a995-47e022814d1f · outbound

This paper cites Aguiar, Infinitesimal Hopf algebras, in: New Trends in Hopf Algebra Theory, La Falda, 1999,Contemp.

Bialgebra theory, the Yang-Baxter equation and relative Rota-Baxter operators for diassociative algebras Aguiar, Infinitesimal Hopf algebras, in: New Trends in Hopf Algebra Theory, La Falda, 1999,Contemp

Reference 1

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Observation d7e028e5-ea01-44f3-a411-46c487ccb12d · outbound

This paper cites Aguiar, Pre-Poisson algebras,Lett.

Bialgebra theory, the Yang-Baxter equation and relative Rota-Baxter operators for diassociative algebras Aguiar, Pre-Poisson algebras,Lett

Reference 2

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Observation e0cd9917-095f-4fb4-8e8c-e5e8f27520c6 · outbound

This paper cites Aguiar, On the associative analog of Lie bialgebras,J.

Bialgebra theory, the Yang-Baxter equation and relative Rota-Baxter operators for diassociative algebras Aguiar, On the associative analog of Lie bialgebras,J

Reference 3

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Observation e96781ff-2013-47ef-a43a-d78372a8b6b7 · outbound

This paper cites Aguiar, Infinitesimal bialgebras, pre-Lie and dendriform algebras, in: Hopf Algebras,Lecture Notes in Pure and Appl.

Bialgebra theory, the Yang-Baxter equation and relative Rota-Baxter operators for diassociative algebras Aguiar, Infinitesimal bialgebras, pre-Lie and dendriform algebras, in: Hopf Algebras,Lecture Notes in Pure and Appl

Reference 4

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Observation 8c665b27-7379-48bf-8d23-d9332ce69d4f · outbound

This paper cites Bai, Left-symmetric bialgebras and an analogue of the classical Yang-Baxter equation,Comm.

Bialgebra theory, the Yang-Baxter equation and relative Rota-Baxter operators for diassociative algebras Bai, Left-symmetric bialgebras and an analogue of the classical Yang-Baxter equation,Comm

Reference 5

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Observation b3c5ac0d-061c-401b-9dbe-0e68be0f7211 · outbound

This paper cites Bai, Double constructions of Frobenius algebras, Connes cocycles and their duality,J.

Bialgebra theory, the Yang-Baxter equation and relative Rota-Baxter operators for diassociative algebras Bai, Double constructions of Frobenius algebras, Connes cocycles and their duality,J

Reference 6

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Observation 89010561-2116-4b90-ba3a-49259296d534 · outbound

This paper cites Algebra and Applications 1: Nonassociative Algebras and Categories.

Bialgebra theory, the Yang-Baxter equation and relative Rota-Baxter operators for diassociative algebras Algebra and Applications 1: Nonassociative Algebras and Categories

Reference 7

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Observation 4cdf6845-27f3-4d8f-9369-e7f4e7a20e29 · outbound

This paper cites Induced structures of averaging commutative and cocommutative infinitesimal bialgebras via a new splitting of perm algebras.

Bialgebra theory, the Yang-Baxter equation and relative Rota-Baxter operators for diassociative algebras Induced structures of averaging commutative and cocommutative infinitesimal bialgebras via a new splitting of perm algebras

Reference 8

Resolution: verified exact; arxiv_id, observed 2026-07-03T00:07:28.358430Z

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Observation 041f9849-da2b-4b42-abf2-938bd72d0d89 · outbound

This paper cites an unresolved cited work.

Bialgebra theory, the Yang-Baxter equation and relative Rota-Baxter operators for diassociative algebras Unresolved cited work

Reference 9

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Observation ef3035f3-3190-4e63-84d7-8a536eaeddb6 · outbound

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Bialgebra theory, the Yang-Baxter equation and relative Rota-Baxter operators for diassociative algebras Unresolved cited work

Reference 10

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Observation fa1dcb35-d811-4650-aff1-103360f88315 · outbound

This paper cites Blokh, A generalization of the concept of a Lie algebra,Dokl.

Bialgebra theory, the Yang-Baxter equation and relative Rota-Baxter operators for diassociative algebras Blokh, A generalization of the concept of a Lie algebra,Dokl

Reference 11

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Observation b9ac8821-74e7-4a5b-ab93-a66649be662f · outbound

This paper cites Bremner, Algebras, dialgebras, and polynomial identities,Serdica Math.

Bialgebra theory, the Yang-Baxter equation and relative Rota-Baxter operators for diassociative algebras Bremner, Algebras, dialgebras, and polynomial identities,Serdica Math

Reference 12

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Observation 074030dd-0672-488f-a327-b5567bd77cc6 · outbound

This paper cites Dialgebras and related operads.

Bialgebra theory, the Yang-Baxter equation and relative Rota-Baxter operators for diassociative algebras Dialgebras and related operads

Reference 13

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Observation bf6712f7-bb98-49f7-8931-787d3cb78e86 · outbound

This paper cites Chapoton, Un th ´eor`eme de Cartier-Milnor-Moore-Quillen pour les big `ebres dendriformes et les alg `ebres braces,J.

Bialgebra theory, the Yang-Baxter equation and relative Rota-Baxter operators for diassociative algebras Chapoton, Un th ´eor`eme de Cartier-Milnor-Moore-Quillen pour les big `ebres dendriformes et les alg `ebres braces,J

Reference 14

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Observation eefbd572-3d61-4b7d-a3f7-2486bb41fc67 · outbound

This paper cites Chapoton, On some anticyclic operads,Algebr.

Bialgebra theory, the Yang-Baxter equation and relative Rota-Baxter operators for diassociative algebras Chapoton, On some anticyclic operads,Algebr

Reference 15

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Observation 4dd53d32-9d16-4fcb-a374-97580ba68264 · outbound

This paper cites Chari and A.

Bialgebra theory, the Yang-Baxter equation and relative Rota-Baxter operators for diassociative algebras Chari and A

Reference 16

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Observation e01ac80b-8f52-4118-adab-b8c471da6553 · outbound

This paper cites Das and S.

Bialgebra theory, the Yang-Baxter equation and relative Rota-Baxter operators for diassociative algebras Das and S

Reference 17

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Observation 55054b65-17ed-4a16-838a-68ec4c0f9707 · outbound

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Bialgebra theory, the Yang-Baxter equation and relative Rota-Baxter operators for diassociative algebras Unresolved cited work

Reference 18

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Observation c56e2726-de1d-41d0-b362-1600f964c67c · outbound

This paper cites Ebrahimi-Fard and L.

Bialgebra theory, the Yang-Baxter equation and relative Rota-Baxter operators for diassociative algebras Ebrahimi-Fard and L

Reference 19

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Observation 8e75ee0d-5997-48c7-9090-e9786faef58f · outbound

This paper cites Foissy, Les alg `ebres de Hopf des arbres enracin´es d´ecor´es II,Bull.

Bialgebra theory, the Yang-Baxter equation and relative Rota-Baxter operators for diassociative algebras Foissy, Les alg `ebres de Hopf des arbres enracin´es d´ecor´es II,Bull

Reference 20

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Observation f6d144b0-d04a-4047-a87f-f3a016c7a6e6 · outbound

This paper cites Frabetti, Dialgebra homology of associative algebras,C.

Bialgebra theory, the Yang-Baxter equation and relative Rota-Baxter operators for diassociative algebras Frabetti, Dialgebra homology of associative algebras,C

Reference 21

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Observation b6e67e8b-9b82-4065-8a39-11de6647c740 · outbound

This paper cites Frabetti, Leibniz homology of dialgebras of matrices,J.

Bialgebra theory, the Yang-Baxter equation and relative Rota-Baxter operators for diassociative algebras Frabetti, Leibniz homology of dialgebras of matrices,J

Reference 22

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Observation dc7fb046-b298-48c8-833e-ff7775e0eac5 · outbound

This paper cites Gonz ´alez, Associative dialgebras from a structural viewpoint,Comm.

Bialgebra theory, the Yang-Baxter equation and relative Rota-Baxter operators for diassociative algebras Gonz ´alez, Associative dialgebras from a structural viewpoint,Comm

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Observation 75179ce6-be21-4f9c-9f01-47c9b058161b · outbound

This paper cites Hou, Extending structures for perm algebras and perm bialgebras,J.

Bialgebra theory, the Yang-Baxter equation and relative Rota-Baxter operators for diassociative algebras Hou, Extending structures for perm algebras and perm bialgebras,J

Reference 24

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Observation 1c52fec0-5b56-4905-8df1-c94aa89cae62 · outbound

This paper cites Kolesnikov, Varieties of dialgebras, and conformal algebras,Sibirsk.

Bialgebra theory, the Yang-Baxter equation and relative Rota-Baxter operators for diassociative algebras Kolesnikov, Varieties of dialgebras, and conformal algebras,Sibirsk

Reference 25

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Observation cfb5778a-8324-4a5a-bd93-809c752a4b1e · outbound

This paper cites Lin and Y.

Bialgebra theory, the Yang-Baxter equation and relative Rota-Baxter operators for diassociative algebras Lin and Y

Reference 26

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Observation a6161676-09f2-46f3-8927-36f3397a27ad · outbound

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Bialgebra theory, the Yang-Baxter equation and relative Rota-Baxter operators for diassociative algebras Unresolved cited work

Reference 27

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Observation 3eb46e57-874c-440b-bb34-5ca062609a8a · outbound

This paper cites Loday, Une version non commutative des alg `ebres de Lie: les alg `ebres de Leibniz,Enseign.

Bialgebra theory, the Yang-Baxter equation and relative Rota-Baxter operators for diassociative algebras Loday, Une version non commutative des alg `ebres de Lie: les alg `ebres de Leibniz,Enseign

Reference 28

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Observation 22f3e546-3678-483a-8828-2adb402eee18 · outbound

This paper cites Dialgebras and related operads.

Bialgebra theory, the Yang-Baxter equation and relative Rota-Baxter operators for diassociative algebras Dialgebras and related operads

Reference 29

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Observation de8981e1-327d-488b-9bd1-0b1444cb1fc1 · outbound

This paper cites Loday and T.

Bialgebra theory, the Yang-Baxter equation and relative Rota-Baxter operators for diassociative algebras Loday and T

Reference 30

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Observation 000553a0-a8ac-4755-8672-35cbbd2ed07c · outbound

This paper cites Loday and M.

Bialgebra theory, the Yang-Baxter equation and relative Rota-Baxter operators for diassociative algebras Loday and M

Reference 31

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Observation 91e0b55c-5b11-405c-a4fc-b57ac1ea95f0 · outbound

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Bialgebra theory, the Yang-Baxter equation and relative Rota-Baxter operators for diassociative algebras coquecigrues

Reference 32

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Observation 5d98e1dc-dc73-4db2-a099-3a50a29b2ed3 · outbound

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Bialgebra theory, the Yang-Baxter equation and relative Rota-Baxter operators for diassociative algebras Unresolved cited work

Reference 33

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Observation 560c668f-6b7b-4048-ae83-fbc62f1fe19f · outbound

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Bialgebra theory, the Yang-Baxter equation and relative Rota-Baxter operators for diassociative algebras Unresolved cited work

Reference 34

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Observation 1a2411f6-c70a-47ca-96f0-d62b7d9adc0b · outbound

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Bialgebra theory, the Yang-Baxter equation and relative Rota-Baxter operators for diassociative algebras Unresolved cited work

Reference 35

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Observation eca6aae4-7341-4388-b6bf-3b0fbdab6105 · outbound

This paper cites Ronco, Eulerian idempotents and Milnor–Moor theorem for certain non-cocommutative Hopf algebras,J.

Bialgebra theory, the Yang-Baxter equation and relative Rota-Baxter operators for diassociative algebras Ronco, Eulerian idempotents and Milnor–Moor theorem for certain non-cocommutative Hopf algebras,J

Reference 36

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Observation 13650faf-3aab-43f3-8020-0ee4eaef04ee · outbound

This paper cites Saha, Equivariant associative dialgebras and its one-parameter formal deformations,J.

Bialgebra theory, the Yang-Baxter equation and relative Rota-Baxter operators for diassociative algebras Saha, Equivariant associative dialgebras and its one-parameter formal deformations,J

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Observation c02036b5-62e4-4403-b54f-f23aeaecdd96 · outbound

This paper cites Tang and Y.

Bialgebra theory, the Yang-Baxter equation and relative Rota-Baxter operators for diassociative algebras Tang and Y

Reference 38

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Observation a9193af1-d429-42c4-b44f-29552dd4b812 · outbound

This paper cites Wang, Zinbiel bialgebras, relative Rota-Baxter operators and the related Yang-Baxter equation,J.

Bialgebra theory, the Yang-Baxter equation and relative Rota-Baxter operators for diassociative algebras Wang, Zinbiel bialgebras, relative Rota-Baxter operators and the related Yang-Baxter equation,J

Reference 39

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Observation def3d22e-d19f-44b4-82c4-24ca20ad3161 · outbound

This paper cites Quasi-triangular and factorizable dendriform D-bialgebras.

Bialgebra theory, the Yang-Baxter equation and relative Rota-Baxter operators for diassociative algebras Quasi-triangular and factorizable dendriform D-bialgebras

Reference 40

Resolution: verified exact; arxiv_id, observed 2026-07-03T00:07:28.353222Z

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Observation 767246e2-4b0d-4359-8991-65dede9a9fff · outbound

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Bialgebra theory, the Yang-Baxter equation and relative Rota-Baxter operators for diassociative algebras Unresolved cited work

Reference 41

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