On the borderline of fields and hyperfields, part II -- Enumeration and classification of the hyperfields of order 7 | Paper Citation Record

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This paper cites On the borderline of fields and hyperfields, Mathematics, 2023, 11(6), 1289; https://doi.org/10.3390/math11061289.

On the borderline of fields and hyperfields, part II -- Enumeration and classification of the hyperfields of order 7 On the borderline of fields and hyperfields, Mathematics, 2023, 11(6), 1289; https://doi.org/10.3390/math11061289

Reference 1

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This paper cites Sur une généralisation de la notion de groupe.

On the borderline of fields and hyperfields, part II -- Enumeration and classification of the hyperfields of order 7 Sur une généralisation de la notion de groupe

Reference 2

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On the borderline of fields and hyperfields, part II -- Enumeration and classification of the hyperfields of order 7 Unresolved cited work

Reference 3

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This paper cites On connections between vector spaces and hypercompositional structures.

On the borderline of fields and hyperfields, part II -- Enumeration and classification of the hyperfields of order 7 On connections between vector spaces and hypercompositional structures

Reference 4

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This paper cites An Overview of the Foundations of the Hypergroup Theory.

On the borderline of fields and hyperfields, part II -- Enumeration and classification of the hyperfields of order 7 An Overview of the Foundations of the Hypergroup Theory

Reference 5

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This paper cites On the semi -subhypergroups of a hypergroup.

On the borderline of fields and hyperfields, part II -- Enumeration and classification of the hyperfields of order 7 On the semi -subhypergroups of a hypergroup

Reference 6

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This paper cites A class of hyperrings and hyperfields.

On the borderline of fields and hyperfields, part II -- Enumeration and classification of the hyperfields of order 7 A class of hyperrings and hyperfields

Reference 7

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Observation 9c25999a-a748-4431-ace7-9d49d5876892 · outbound

This paper cites Hypergroupes canoniques hypervalues, C.R.

On the borderline of fields and hyperfields, part II -- Enumeration and classification of the hyperfields of order 7 Hypergroupes canoniques hypervalues, C.R

Reference 9

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This paper cites Hypergroupes canoniques values et hypervalues.

On the borderline of fields and hyperfields, part II -- Enumeration and classification of the hyperfields of order 7 Hypergroupes canoniques values et hypervalues

Reference 10

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Observation 5b249aa4-7fd4-4cca-9c50-8382889e20bb · outbound

This paper cites Methods of constructing hyperfields.

On the borderline of fields and hyperfields, part II -- Enumeration and classification of the hyperfields of order 7 Methods of constructing hyperfields

Reference 11

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This paper cites Cours d’ Algebre superieure, Theories des valuation et de Galois.

On the borderline of fields and hyperfields, part II -- Enumeration and classification of the hyperfields of order 7 Cours d’ Algebre superieure, Theories des valuation et de Galois

Reference 12

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Observation 04f40c4c-76e3-4528-a194-0bea8960da9a · outbound

This paper cites Constructions of hyperfields, Math.

On the borderline of fields and hyperfields, part II -- Enumeration and classification of the hyperfields of order 7 Constructions of hyperfields, Math

Reference 13

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Observation 51bf4e3a-56a3-49f8-92d2-cd5fe26fc0fd · outbound

This paper cites Proofs from THE BOOK, 6th ed.; Springer: Berlin, Germany, 2018; pp.

On the borderline of fields and hyperfields, part II -- Enumeration and classification of the hyperfields of order 7 Proofs from THE BOOK, 6th ed.; Springer: Berlin, Germany, 2018; pp

Reference 14

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Observation cacf9d84-016d-4db5-ba5c-5f2a333f7af9 · outbound

This paper cites On the theory of hyperrings and hyperfields.

On the borderline of fields and hyperfields, part II -- Enumeration and classification of the hyperfields of order 7 On the theory of hyperrings and hyperfields

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:14:10.237091Z

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Observation 20d13d3a-aea2-4cfe-b38e-db37df5a4f5f · outbound

This paper cites A class of hyperfields and a problem in the theory of fields, Mathematica Montisnigri, 1993, 1, pp.

On the borderline of fields and hyperfields, part II -- Enumeration and classification of the hyperfields of order 7 A class of hyperfields and a problem in the theory of fields, Mathematica Montisnigri, 1993, 1, pp

Reference 16

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Observation 4c0a2bc8-5b9a-4b93-9de1-86fa4a87d46e · outbound

This paper cites Recent results in hyperring and hyperfield theory, Internat.

On the borderline of fields and hyperfields, part II -- Enumeration and classification of the hyperfields of order 7 Recent results in hyperring and hyperfield theory, Internat

Reference 17

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Observation bff31c57-4306-40e8-beaa-1d5d3261d3c1 · outbound

This paper cites An equivalence between two approaches to limits of local fields.

On the borderline of fields and hyperfields, part II -- Enumeration and classification of the hyperfields of order 7 An equivalence between two approaches to limits of local fields

Reference 18

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This paper cites Hyperfields, truncated DVRs, and valued fields.

On the borderline of fields and hyperfields, part II -- Enumeration and classification of the hyperfields of order 7 Hyperfields, truncated DVRs, and valued fields

Reference 19

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Observation 1baa4f71-d931-4df2-9a2f-1ab46860f2cf · outbound

This paper cites Orderings and valuations in hyperfields.

On the borderline of fields and hyperfields, part II -- Enumeration and classification of the hyperfields of order 7 Orderings and valuations in hyperfields

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:14:10.143345Z

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This paper cites On the hyperfields associated to valued fields.

On the borderline of fields and hyperfields, part II -- Enumeration and classification of the hyperfields of order 7 On the hyperfields associated to valued fields

Reference 21

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This paper cites Notes on valuation theory for Krasner hyperfields.

On the borderline of fields and hyperfields, part II -- Enumeration and classification of the hyperfields of order 7 Notes on valuation theory for Krasner hyperfields

Reference 22

Resolution: verified exact; local_arxiv, observed 2026-08-11T15:14:09.642658Z

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This paper cites Contributions a la théorie des hypergroupes, hyperanneaux, et les hypercorps hypervalues, C.

On the borderline of fields and hyperfields, part II -- Enumeration and classification of the hyperfields of order 7 Contributions a la théorie des hypergroupes, hyperanneaux, et les hypercorps hypervalues, C

Reference 23

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This paper cites Certains hypercorps et hyperanneaux définis à partir de corps et anneaux ordonnés, Bull.

On the borderline of fields and hyperfields, part II -- Enumeration and classification of the hyperfields of order 7 Certains hypercorps et hyperanneaux définis à partir de corps et anneaux ordonnés, Bull

Reference 24

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Observation ba1a4c06-9c32-4f8f-876a-ee7ddb300e46 · outbound

This paper cites Hypergroupes canoniques values et hypervalues.

On the borderline of fields and hyperfields, part II -- Enumeration and classification of the hyperfields of order 7 Hypergroupes canoniques values et hypervalues

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:14:10.061628Z

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This paper cites Contribution à la théorie des structures ordonnées et des structures valuées, Proceedings of the Academy of Athens, 1973, vol.

On the borderline of fields and hyperfields, part II -- Enumeration and classification of the hyperfields of order 7 Contribution à la théorie des structures ordonnées et des structures valuées, Proceedings of the Academy of Athens, 1973, vol

Reference 26

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This paper cites Certaines remarques sur les hypergroupes canoniques hypervaluables et fortement canoniques.

On the borderline of fields and hyperfields, part II -- Enumeration and classification of the hyperfields of order 7 Certaines remarques sur les hypergroupes canoniques hypervaluables et fortement canoniques

Reference 27

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This paper cites Hypergroupes canoniques.

On the borderline of fields and hyperfields, part II -- Enumeration and classification of the hyperfields of order 7 Hypergroupes canoniques

Reference 28

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This paper cites Sur les structures hypercompositionnelles, Algebraic Hyperstructures and Applications.

On the borderline of fields and hyperfields, part II -- Enumeration and classification of the hyperfields of order 7 Sur les structures hypercompositionnelles, Algebraic Hyperstructures and Applications

Reference 29

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This paper cites Sur les hyperanneaux et les hypercorps, 1973, Math.

On the borderline of fields and hyperfields, part II -- Enumeration and classification of the hyperfields of order 7 Sur les hyperanneaux et les hypercorps, 1973, Math

Reference 30

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This paper cites Hyperfields for Tropical Geometry I. Hyperfields and dequantization.

On the borderline of fields and hyperfields, part II -- Enumeration and classification of the hyperfields of order 7 Hyperfields for Tropical Geometry I. Hyperfields and dequantization

Reference 31

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On the borderline of fields and hyperfields, part II -- Enumeration and classification of the hyperfields of order 7 On basic concepts of tropical geometry

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:14:09.971898Z

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This paper cites Matroids over hyperfields.

On the borderline of fields and hyperfields, part II -- Enumeration and classification of the hyperfields of order 7 Matroids over hyperfields

Reference 33

Resolution: verified exact; local_arxiv, observed 2026-08-11T15:14:09.602677Z

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On the borderline of fields and hyperfields, part II -- Enumeration and classification of the hyperfields of order 7 Geometry of hyperfields

Reference 34

Resolution: verified exact; local_arxiv, observed 2026-08-11T15:14:09.580534Z

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This paper cites Tropical geometry over the tropical hyperfield, Rocky Mountain J.

On the borderline of fields and hyperfields, part II -- Enumeration and classification of the hyperfields of order 7 Tropical geometry over the tropical hyperfield, Rocky Mountain J

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On the borderline of fields and hyperfields, part II -- Enumeration and classification of the hyperfields of order 7 Nontrivial solutions for homogeneous linear equations over some non-quotient hyperfields

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Resolution: verified exact; local_arxiv, observed 2026-08-11T15:14:09.558568Z

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This paper cites Hypergroups and their applications, Ph.D.

On the borderline of fields and hyperfields, part II -- Enumeration and classification of the hyperfields of order 7 Hypergroups and their applications, Ph.D

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Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:14:09.955859Z

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This paper cites A Field Theory Problem Relating to Questions in Hyperfield Theory , AIP Conf.

On the borderline of fields and hyperfields, part II -- Enumeration and classification of the hyperfields of order 7 A Field Theory Problem Relating to Questions in Hyperfield Theory , AIP Conf

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This paper cites Multiplicative subgroups of finite index in a ring.

On the borderline of fields and hyperfields, part II -- Enumeration and classification of the hyperfields of order 7 Multiplicative subgroups of finite index in a ring

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:14:09.941721Z

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Observation cd1fbe70-d67a-419a-94d2-5477dfb8e56a · outbound

This paper cites Multiplicative subgroups of finite index in a division ring.

On the borderline of fields and hyperfields, part II -- Enumeration and classification of the hyperfields of order 7 Multiplicative subgroups of finite index in a division ring

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Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:14:09.927817Z

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Observation 3103bae7-120b-4eac-bf79-300ceb95e2b1 · outbound

This paper cites Semi-ipergruppi e ipergruppi ciclici, Atti Sem.

On the borderline of fields and hyperfields, part II -- Enumeration and classification of the hyperfields of order 7 Semi-ipergruppi e ipergruppi ciclici, Atti Sem

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Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:14:09.914094Z

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Observation 9abcd932-b2a2-4c36-9014-e5f4c99354bc · outbound

This paper cites Ipergruppi di cardinalità 3 e isomorfismi di ipergruppoidi commutativi totalmente regolari, Atti Convegno su Ipergruppi, Udine, Italy, October 15-18, 1985, pp.131-136.

On the borderline of fields and hyperfields, part II -- Enumeration and classification of the hyperfields of order 7 Ipergruppi di cardinalità 3 e isomorfismi di ipergruppoidi commutativi totalmente regolari, Atti Convegno su Ipergruppi, Udine, Italy, October 15-18, 1985, pp.131-136

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Observation c9231ca5-d641-4e86-9b02-bcc486daf152 · outbound

This paper cites An algorithm on number of isomorphism classes of hypergroups of order 3, Ital.

On the borderline of fields and hyperfields, part II -- Enumeration and classification of the hyperfields of order 7 An algorithm on number of isomorphism classes of hypergroups of order 3, Ital

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Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:14:09.882906Z

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Observation fcccac6a-3453-48a2-b2d8-9e48b6e6f89c · outbound

This paper cites On enumeration of hypergroups of order 3.

On the borderline of fields and hyperfields, part II -- Enumeration and classification of the hyperfields of order 7 On enumeration of hypergroups of order 3

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Resolution: verified exact; doi, observed 2026-08-11T15:14:09.350209Z

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Observation f33e9003-89b1-4541-b50b-0ebb700a3213 · outbound

This paper cites Hypergroups of type u on the right of size five.

On the borderline of fields and hyperfields, part II -- Enumeration and classification of the hyperfields of order 7 Hypergroups of type u on the right of size five

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:14:09.868026Z

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Observation 3a2bbd5f-1016-4b0e-9f49-91aa8cd5470b · outbound

This paper cites Isomorphism classes of the hypergroups of type U on the right of size five, Computers and Mathematics with Applications, 2009, 58, 390–402.

On the borderline of fields and hyperfields, part II -- Enumeration and classification of the hyperfields of order 7 Isomorphism classes of the hypergroups of type U on the right of size five, Computers and Mathematics with Applications, 2009, 58, 390–402

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Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:14:09.854357Z

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Observation 60e50b65-98cc-4cf1-954b-7d2aa7bbe95d · outbound

This paper cites Fully simple semihypergroups, transitive digraphs, and Sequence A000712.

On the borderline of fields and hyperfields, part II -- Enumeration and classification of the hyperfields of order 7 Fully simple semihypergroups, transitive digraphs, and Sequence A000712

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Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:14:09.838372Z

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Observation 0e05fb2e-1c06-499b-aa32-079714f13b0a · outbound

This paper cites On hypergroups with a b-class of finite height.

On the borderline of fields and hyperfields, part II -- Enumeration and classification of the hyperfields of order 7 On hypergroups with a b-class of finite height

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Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:14:09.823281Z

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Observation 67df5f28-0bf4-4e56-97d1-5116d345b891 · outbound

This paper cites 1-hypergroups of small sizes.

On the borderline of fields and hyperfields, part II -- Enumeration and classification of the hyperfields of order 7 1-hypergroups of small sizes

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Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:14:09.803995Z

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Observation 874b595c-8c4d-4135-bb3e-35b49c24c7b0 · outbound

This paper cites G-Hypergroups: Hypergroups with a Group-Isomorphic Heart.

On the borderline of fields and hyperfields, part II -- Enumeration and classification of the hyperfields of order 7 G-Hypergroups: Hypergroups with a Group-Isomorphic Heart

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Resolution: verified exact; doi, observed 2026-08-11T15:14:09.335555Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation c46537c1-6c9a-4e2c-bc27-2ab3a319527d · outbound

This paper cites The Class Equation and the Commutativity Degree for Complete Hypergroups, Mathematics, 2020, 8, 2253; doi:10.3390/math8122253.

On the borderline of fields and hyperfields, part II -- Enumeration and classification of the hyperfields of order 7 The Class Equation and the Commutativity Degree for Complete Hypergroups, Mathematics, 2020, 8, 2253; doi:10.3390/math8122253

Reference 51

Resolution: verified exact; doi, observed 2026-08-11T15:14:09.318805Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation e781dba3-2599-4f36-824b-70a5712daf63 · outbound

This paper cites Classification of Krasner Hyperfields of Order 4.

On the borderline of fields and hyperfields, part II -- Enumeration and classification of the hyperfields of order 7 Classification of Krasner Hyperfields of Order 4

Reference 52

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:14:09.787045Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 1802e4f8-a69a-4327-8e68-497967eb2914 · outbound

This paper cites Advanced results in enumeration of hyperfields.

On the borderline of fields and hyperfields, part II -- Enumeration and classification of the hyperfields of order 7 Advanced results in enumeration of hyperfields

Reference 53

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:14:09.769486Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 530e7411-956a-433a-9643-addc6a578c74 · outbound

This paper cites Finite Hyperfields of Order $n\leq 5$.

On the borderline of fields and hyperfields, part II -- Enumeration and classification of the hyperfields of order 7 Finite Hyperfields of Order $n\leq 5$

Reference 54

Resolution: verified exact; local_arxiv, observed 2026-08-11T15:14:09.538786Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation d95d0fb5-0401-4db5-bbec-16601945d6d3 · outbound

This paper cites On the Structure of Hyperfields Obtained as Quotients of Fields.

On the borderline of fields and hyperfields, part II -- Enumeration and classification of the hyperfields of order 7 On the Structure of Hyperfields Obtained as Quotients of Fields

Reference 55

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:14:09.755795Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation bf0a2fc6-36ed-4b3b-81a7-fdd5289a66ab · outbound

This paper cites Square Roots of Total Boolean Matrices: Enumeration Issues, 2009 16th International Conference on Systems, Signals and Image Processing, Chalkida, Greece, 2009, pp.

On the borderline of fields and hyperfields, part II -- Enumeration and classification of the hyperfields of order 7 Square Roots of Total Boolean Matrices: Enumeration Issues, 2009 16th International Conference on Systems, Signals and Image Processing, Chalkida, Greece, 2009, pp

Reference 56

Resolution: unresolved; no resolver link, observed 2026-08-11T15:14:09.169511Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fa46ec53-8577-447c-9899-cacc29b2f5d7 · outbound

This paper cites Enumeration of hypercompositional structures defined by binary relations.

On the borderline of fields and hyperfields, part II -- Enumeration and classification of the hyperfields of order 7 Enumeration of hypercompositional structures defined by binary relations

Reference 57

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:14:09.742206Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation c9d32e06-c67a-4ad5-936c-d6646d354585 · outbound

This paper cites Enumeration of Rosenberg type hypercompositional structures defined by binary relations, Eur.

On the borderline of fields and hyperfields, part II -- Enumeration and classification of the hyperfields of order 7 Enumeration of Rosenberg type hypercompositional structures defined by binary relations, Eur

Reference 58

Resolution: verified exact; doi, observed 2026-08-11T15:14:09.304658Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation d846de48-bde4-4991-881f-3f91e522d892 · outbound

This paper cites On the Theory of Left/Right Almost Groups and Hypergroups with their Relevant Enumerations, Mathematics, 2021, 9, 1828; doi.org/10.3390/math9151828.

On the borderline of fields and hyperfields, part II -- Enumeration and classification of the hyperfields of order 7 On the Theory of Left/Right Almost Groups and Hypergroups with their Relevant Enumerations, Mathematics, 2021, 9, 1828; doi.org/10.3390/math9151828

Reference 59

Resolution: verified exact; doi, observed 2026-08-11T15:14:09.289882Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 46b17e11-4f5e-4300-91a5-7b15bd4c78de · outbound

This paper cites On the enumeration of rigid hypercompositional structures.

On the borderline of fields and hyperfields, part II -- Enumeration and classification of the hyperfields of order 7 On the enumeration of rigid hypercompositional structures

Reference 60

Resolution: verified exact; doi, observed 2026-08-11T15:14:09.274755Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 4d7cae2e-b93c-41b4-972f-6d0b47052a1a · outbound

This paper cites On 2-element Fuzzy and Mimic Fuzzy Hypergroups.

On the borderline of fields and hyperfields, part II -- Enumeration and classification of the hyperfields of order 7 On 2-element Fuzzy and Mimic Fuzzy Hypergroups

Reference 61

Resolution: verified exact; doi, observed 2026-08-11T15:14:09.259978Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation c2444274-9c91-4f0a-b6fe-773e71f38e05 · outbound

This paper cites Enumeration of Rosenberg hypergroups, Comput.

On the borderline of fields and hyperfields, part II -- Enumeration and classification of the hyperfields of order 7 Enumeration of Rosenberg hypergroups, Comput

Reference 62

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:14:09.725967Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 95d80ee3-d30e-4a79-bcdd-53223a114ea5 · outbound

This paper cites A method to compute the number of regular reversible Rosenberg hypergroup, ARS Comb.

On the borderline of fields and hyperfields, part II -- Enumeration and classification of the hyperfields of order 7 A method to compute the number of regular reversible Rosenberg hypergroup, ARS Comb

Reference 63

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:14:09.710455Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 6ef5b2e4-bbe7-47f8-9007-e2798cb99502 · outbound

This paper cites Classifications of unitary Krasner hyperrings of small order, Facta Universitatis (NIS) Ser.

On the borderline of fields and hyperfields, part II -- Enumeration and classification of the hyperfields of order 7 Classifications of unitary Krasner hyperrings of small order, Facta Universitatis (NIS) Ser

Reference 64

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:14:09.695603Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation c53d2512-8aae-4e21-8677-bad991c165a4 · outbound

This paper cites an unresolved cited work.

On the borderline of fields and hyperfields, part II -- Enumeration and classification of the hyperfields of order 7 Unresolved cited work

Reference 65

Resolution: unresolved; raw_fallback, observed 2026-08-11T15:14:09.679628Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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