Paper Citation Record · LEDGER

Hopf braces and semi-abelian categories

As of 20 August 2026, this Paper Citation Record lists 49 of 49 outbound references and 2 inbound Pith citation observations for arXiv:2411.19238.

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

pith.paper-citation-record.v1
2411.19238 v2

Coverage vector

measured 49 of 49 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T10:31:24.011874Z

measured 51 of 51 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-04T18:34:25.492521Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

49 of 49 outbound references displayed

verified exact1
verified fuzzy39
unresolved9
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 2540e69c-280a-47da-8b3f-0ee0719a9122 · outbound

This paper cites Agore, Limits of coalgebras, bialgebras and Hopf algebras.

Hopf braces and semi-abelian categories Agore, Limits of coalgebras, bialgebras and Hopf algebras

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T10:31:24.961949Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 48fbeaf5-6e87-4746-befa-75fae9ed71fa · outbound

This paper cites Agore, Constructing Hopf braces.

Hopf braces and semi-abelian categories Agore, Constructing Hopf braces

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T10:31:24.945712Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation e6e7c088-3e34-4886-bfac-afb3f6bf345b · outbound

This paper cites On the category of Hopf braces.

Hopf braces and semi-abelian categories On the category of Hopf braces

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-12T10:31:23.776761Z

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Unavailable: canonical work link unavailable.

Observation dd98b13d-ff5a-4762-bc7f-0e3dbaa2533c · outbound

This paper cites Angiono, C.

Hopf braces and semi-abelian categories Angiono, C

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T10:31:24.929050Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 91aa4647-a5be-431b-aed4-07753c258fd8 · outbound

This paper cites Barr, Exact categories, in: Springer Lecture Notes in Math.

Hopf braces and semi-abelian categories Barr, Exact categories, in: Springer Lecture Notes in Math

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T10:31:24.911838Z

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Observation 32dab53a-fcba-442d-a3c5-98c7c19fe842 · outbound

This paper cites Borceux, D.

Hopf braces and semi-abelian categories Borceux, D

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T10:31:24.895474Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 5936332f-cb09-4fcc-97ac-02fc117affce · outbound

This paper cites Borceux, F.

Hopf braces and semi-abelian categories Borceux, F

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T10:31:24.878894Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 17cff997-1865-47f9-bf12-204c5d6c55ae · outbound

This paper cites Bourn, Normalization equivalence, kernel equivalence and aﬃne ca tegories, in: Category Theory, Como, 1990, in: Lect.

Hopf braces and semi-abelian categories Bourn, Normalization equivalence, kernel equivalence and aﬃne ca tegories, in: Category Theory, Como, 1990, in: Lect

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T10:31:24.862727Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation f38f48a8-168f-4075-8c94-44621b94ecc7 · outbound

This paper cites Bourn, Mal’cev categories and ﬁbration of pointed objects.

Hopf braces and semi-abelian categories Bourn, Mal’cev categories and ﬁbration of pointed objects

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T10:31:24.846122Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 9193798f-86fb-457c-9805-7f7a7c10c956 · outbound

This paper cites Bourn, Normal functors and strong protomodularity.

Hopf braces and semi-abelian categories Bourn, Normal functors and strong protomodularity

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T10:31:24.828836Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation ff213dae-2180-4562-a26e-9c3c8c04fb6f · outbound

This paper cites Bourn, Normal subobjects and abelian objects in protomodular cate gories.

Hopf braces and semi-abelian categories Bourn, Normal subobjects and abelian objects in protomodular cate gories

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T10:31:24.812053Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation eb1ee68b-3be1-44eb-b18b-6437d779bc35 · outbound

This paper cites Bourn, Split epimorphisms and Baer sums of skew left braces.

Hopf braces and semi-abelian categories Bourn, Split epimorphisms and Baer sums of skew left braces

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T10:31:24.795747Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation fac60509-1171-4173-ab81-9e147cc196b6 · outbound

This paper cites Bourn, A.

Hopf braces and semi-abelian categories Bourn, A

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T10:31:24.779573Z

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Observation 68bd7a40-136b-4992-9f71-b7513a9ad8cf · outbound

This paper cites Bourn, M.

Hopf braces and semi-abelian categories Bourn, M

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T10:31:24.762653Z

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Observation 7a996b96-3c52-4900-9a6b-6e9da2e05bcb · outbound

This paper cites Bourn, M.

Hopf braces and semi-abelian categories Bourn, M

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T10:31:24.745941Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation c1dcaf27-441f-4d3a-8f7f-80b309e8e239 · outbound

This paper cites Bourn, M.

Hopf braces and semi-abelian categories Bourn, M

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T10:31:24.729068Z

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Observation 98c38a64-0396-41fe-8624-a4a6a5dea87b · outbound

This paper cites Everaert and T.

Hopf braces and semi-abelian categories Everaert and T

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T10:31:24.712418Z

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Observation a11edcc0-f2fd-4beb-81d9-a48882f9d20d · outbound

This paper cites Facchini, M.

Hopf braces and semi-abelian categories Facchini, M

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T10:31:24.695799Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 54270932-eeb1-45a8-809d-4ce395becc5d · outbound

This paper cites Fernández Vilaboa, R.

Hopf braces and semi-abelian categories Fernández Vilaboa, R

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T10:31:24.678940Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 9f282fdd-2ba4-42c8-b62c-bc5757c6bd28 · outbound

This paper cites Matched pairs and Yetter-Drinfeld braces.

Hopf braces and semi-abelian categories Matched pairs and Yetter-Drinfeld braces

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-12T10:31:23.865976Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5e3bd56d-36fd-463f-8631-6308203e3842 · outbound

This paper cites Gran, Applications of Categorical Galois Theory in Universal Algeb ra, in: Galois theory, Hopf algebras, and semiabelian categories, Fields Inst.

Hopf braces and semi-abelian categories Gran, Applications of Categorical Galois Theory in Universal Algeb ra, in: Galois theory, Hopf algebras, and semiabelian categories, Fields Inst

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T10:31:24.662320Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation e07a2d8d-a58d-41c6-89d4-bea910af9fbe · outbound

This paper cites an unresolved cited work.

Hopf braces and semi-abelian categories Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-12T10:31:24.645514Z

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Observation aa126607-6c4d-4ff8-b494-bdeb3fa7f378 · outbound

This paper cites an unresolved cited work.

Hopf braces and semi-abelian categories Unresolved cited work

Reference 23

Resolution: verified exact; raw_fallback, observed 2026-08-12T10:31:24.195957Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation f2b334de-fae4-4b64-a24b-0fe33cc168e3 · outbound

This paper cites an unresolved cited work.

Hopf braces and semi-abelian categories Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-12T10:31:24.629025Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation dc4b027d-ab6c-406c-9d3c-fc3f782918bc · outbound

This paper cites an unresolved cited work.

Hopf braces and semi-abelian categories Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-12T10:31:24.612282Z

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Observation 17841507-7d82-4613-9d10-da685875b031 · outbound

This paper cites Guarnieri, L.

Hopf braces and semi-abelian categories Guarnieri, L

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T10:31:24.595633Z

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Observation 3653f9ba-6117-4c75-9bb9-a139906dcf3e · outbound

This paper cites Higgins, Groups with multiple operators.

Hopf braces and semi-abelian categories Higgins, Groups with multiple operators

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T10:31:24.578193Z

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Observation fbce27ac-e4e3-43e5-9397-ee6c6deef41e · outbound

This paper cites Hiroshi, On group-theoretic properties of cocommutative Hopf algeb ras.

Hopf braces and semi-abelian categories Hiroshi, On group-theoretic properties of cocommutative Hopf algeb ras

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T10:31:24.561486Z

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Observation c1f7fb79-ccc7-42f8-b137-caab77be8883 · outbound

This paper cites an unresolved cited work.

Hopf braces and semi-abelian categories Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-12T10:31:24.545219Z

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Observation 0991c4c8-d386-4308-bc99-df0619fab41a · outbound

This paper cites Janelidze, L.

Hopf braces and semi-abelian categories Janelidze, L

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T10:31:24.529127Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation a2ec78ae-380f-4508-85f6-878d79ba7f45 · outbound

This paper cites Johnstone, A note on the semiabelian variety of Heyting semilattices , in: Galois theory, Hopf algebras, and semiabelian categories, Fields Inst.

Hopf braces and semi-abelian categories Johnstone, A note on the semiabelian variety of Heyting semilattices , in: Galois theory, Hopf algebras, and semiabelian categories, Fields Inst

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T10:31:24.513386Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 11ce0b42-5368-4d7d-84d2-eafea5f89026 · outbound

This paper cites Post-Hopf algebras, relative Rota-Baxter operators and solutions of the Yang-Baxter equation.

Hopf braces and semi-abelian categories Post-Hopf algebras, relative Rota-Baxter operators and solutions of the Yang-Baxter equation

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-12T10:31:23.926349Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 94bb0581-a13f-457a-b035-8209344c4c5f · outbound

This paper cites an unresolved cited work.

Hopf braces and semi-abelian categories Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-08-12T10:31:24.497179Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation e45cfa6b-9195-4e10-b496-4b5536b0fbd6 · outbound

This paper cites Majid, Foundations of quantum group theory.

Hopf braces and semi-abelian categories Majid, Foundations of quantum group theory

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T10:31:24.481580Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 0833455b-1d11-4911-9ac5-d866aa64fb29 · outbound

This paper cites Mantovani, G.

Hopf braces and semi-abelian categories Mantovani, G

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T10:31:24.465912Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 1dc14d2e-7030-4ad3-9eb3-cef5c0e69e9d · outbound

This paper cites Milnor, J.

Hopf braces and semi-abelian categories Milnor, J

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T10:31:24.450330Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 7563b4a9-2a9d-4140-a66c-942507b0d603 · outbound

This paper cites Molnar, Semi-direct products of Hopf algebras.

Hopf braces and semi-abelian categories Molnar, Semi-direct products of Hopf algebras

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T10:31:24.433182Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation dabefdd0-e71e-44fd-bd34-4376a452c3ce · outbound

This paper cites Newman, A correspondence between bi-ideals and sub-Hopf algebras i n cocommutative Hopf algebras.

Hopf braces and semi-abelian categories Newman, A correspondence between bi-ideals and sub-Hopf algebras i n cocommutative Hopf algebras

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T10:31:24.416694Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation ba51b1d4-bf5a-46cd-974f-11ebbaa5ca1c · outbound

This paper cites Orzech, Obstruction theory in algebraic categories.

Hopf braces and semi-abelian categories Orzech, Obstruction theory in algebraic categories

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T10:31:24.399720Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation a0305537-d888-4a10-b7ac-b3f881837fd4 · outbound

This paper cites Pedicchio, A categorical approach to commutator theory.

Hopf braces and semi-abelian categories Pedicchio, A categorical approach to commutator theory

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T10:31:24.383401Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 89fd585b-8e0d-4a1f-b840-4c887a123d19 · outbound

This paper cites Rump, Braces, radical rings, and the quantum Yang–Baxter equatio n.

Hopf braces and semi-abelian categories Rump, Braces, radical rings, and the quantum Yang–Baxter equatio n

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T10:31:24.367762Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 7a59aac2-d3d5-436b-ac2c-e246d45ac28e · outbound

This paper cites Sciandra, Semi-abelian condition for color Hopf algebras.

Hopf braces and semi-abelian categories Sciandra, Semi-abelian condition for color Hopf algebras

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T10:31:24.350645Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 830ab918-c45e-47cd-9f89-ffe62a89fd19 · outbound

This paper cites Yetter-Drinfeld post-Hopf algebras and Yetter-Drinfeld relative Rota-Baxter operators.

Hopf braces and semi-abelian categories Yetter-Drinfeld post-Hopf algebras and Yetter-Drinfeld relative Rota-Baxter operators

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-12T10:31:23.981697Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a7ad1755-e758-47b9-9c92-b3c250049892 · outbound

This paper cites Smith, Mal’cev varieties.

Hopf braces and semi-abelian categories Smith, Mal’cev varieties

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T10:31:24.334445Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation af841cb9-fa46-487c-aeba-7d19b9bb4b37 · outbound

This paper cites Street, Quantum groups: A path to current algebra.

Hopf braces and semi-abelian categories Street, Quantum groups: A path to current algebra

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T10:31:24.316718Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 04a0016e-7625-4fcc-ad9a-525e0908492e · outbound

This paper cites Sweedler, Hopf Algebras.

Hopf braces and semi-abelian categories Sweedler, Hopf Algebras

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T10:31:24.299991Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 71e7aea4-f7fd-4181-93ac-efab57beda29 · outbound

This paper cites Takeuchi, A correspondence between Hopf ideals and sub-Hopf algebras.

Hopf braces and semi-abelian categories Takeuchi, A correspondence between Hopf ideals and sub-Hopf algebras

Reference 47

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T10:31:24.283611Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation d639239a-8874-4eae-bcf0-0ae85fe8f11d · outbound

This paper cites Vallette, Homology of generalised partition posets.

Hopf braces and semi-abelian categories Vallette, Homology of generalised partition posets

Reference 48

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T10:31:24.266379Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 71983656-4245-43c5-bfc3-21745b362703 · outbound

This paper cites G. Peano.

Hopf braces and semi-abelian categories G. Peano

Reference 49

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T10:31:24.249297Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Pith citing papers

Observation 1455b7bf-2428-4a78-b550-97c2624ed796 · inbound

Hopf formulae for cocommutative Hopf algebras cites this paper.

Hopf formulae for cocommutative Hopf algebras Hopf braces and semi-abelian categories

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-04T18:34:25.492521Z

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Unavailable: canonical work link unavailable.

Observation 302fefd6-9785-4b4d-a937-7fa803c761ea · inbound

A Syntactic Approach to Ulmer's Bialgebras cites this paper.

A Syntactic Approach to Ulmer's Bialgebras Hopf braces and semi-abelian categories

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-01T12:33:41.686980Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.