1. Polygroup objects in regular categoriesAlessandro Linzi, 2024, izvirni znanstveni članek Opis: We express the fundamental properties of commutative polygroups (also known as canonical hypergroups) in category-theoretic terms, over the category $ \mathbf{Set} $ formed by sets and functions. For this, we employ regularity as well as the monoidal structure induced on the category $ {\mathbf{Rel}} $ of sets and relations by cartesian products. We highlight how our approach can be generalised to any regular category. In addition, we consider the theory of partial multirings and find fully faithful functors between certain slice or coslice categories of the category of partial multirings and other categories formed by well-known mathematical structures and their morphisms.
Ključne besede: polygroup, canonical hypergroup, multiring, Krasner hyperring, regular category, relation
Objavljeno v RUNG: 25.03.2024; Ogledov: 217; Prenosov: 3
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2. From HX-groups to HX-polygroupsSeyed S. Mousavi, Morteza Jafarpour, Irina Elena Cristea, 2023, izvirni znanstveni članek Ključne besede: HX-group, hypercompositional structure, coset, polygroup, regularity, uniformity, essentiality, double coset
Objavljeno v RUNG: 22.12.2023; Ogledov: 584; Prenosov: 7
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3. Iranmanesh, Mahdeyeh; Jafarpour, Morteza; Aghabozorgi, Hossien; Zhan, Jian Ming Classification of Krasner hyperfields of order 4. Acta Math. Sin. (Engl. Ser.) 36 (2020), no. 8, 889–902.Irina Elena Cristea, 2022, recenzija, prikaz knjige, kritika Ključne besede: Krasner hyperfield, polygroup, order, Matlab
Objavljeno v RUNG: 11.05.2022; Ogledov: 1276; Prenosov: 0
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5. Heidari, D.[Heidari, Dariush](IR-MIHES);Davvaz, B.[Davvaz, Bijan](IR-YAZD-M)Characterization of small polygroups by their fundamental groups.2020, recenzija, prikaz knjige, kritika Ključne besede: Maple, polygroup, isomorphism, fundamental group
Objavljeno v RUNG: 06.04.2020; Ogledov: 2446; Prenosov: 0
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