Results 1 to 10 of about 2,014 (132)
G-Hypergroups: Hypergroups with a Group-Isomorphic Heart [PDF]
Mathematics, 2022 Hypergroups can be subdivided into two large classes: those whose heart coincide with the entire hypergroup and those in which the heart is a proper sub-hypergroup. The latter class includes the family of 1-hypergroups, whose heart reduces to a singleton,
Mario De Salvo +3 more
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On enumeration of $EL$-hyperstructures with $2$ elements [PDF]
Journal of Mahani Mathematical Research, 2022 $EL$-hypergroups were defined by Chvalina 1995. Till now, no exact statistics of $EL$-hypergroups have been done. Moreover, there is no classification of $EL$-hypergroups and $EL^2$-hypergroups even over small sets.
Saeed Mirvakili, Sayed Hossein Ghazavi
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Mathematics Interdisciplinary Research, 2021 This paper introduces the concept of auto–Engel polygroups via the heart of hypergroups and investigates the relation between of auto–Engel polygroups and auto–nilpotent polygroups.
Ali Mosayebi-Dorcheh +2 more
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Topics on $(H,Poly(P))$-Hypergroups [PDF]
Mathematics Interdisciplinary Research, 2023 In this paper, we construct a hypergroup by using a hypergroup $(H,\circ)$ and a polygroup $(P,\cdot)$, and call it $(H,Poly(P))$-hypergroup. The method of constructing hypergroups in this paper is not present in the established techniques of ...
Saeed Mirvakili +2 more
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Mathematics, 2021 In this paper, we show a new construction of hypergroups that, under appropriate conditions, are complete hypergroups or non-complete 1-hypergroups.
Mario De Salvo +3 more
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On the Theory of Left/Right Almost Groups and Hypergroups with their Relevant Enumerations
Mathematics, 2021 This paper presents the study of algebraic structures equipped with the inverted associativity axiom. Initially, the definition of the left and the right almost-groups is introduced and afterwards, the study is focused on the more general structures ...
Christos G. Massouros, Naveed Yaqoob
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Complete parts and subhypergroups in reversible regular hypergroups
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2022 In this paper we analyse the center and centralizer of an element in the context of reversible regular hypergroups, in order to obtain the class equation in regular reversible hypergroups, by using complete parts.
Leoreanu-Fotea V. +3 more
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Mathematics, 2020 A fuzzy multiset is a generalization of a fuzzy set. This paper aims to combine the innovative notion of fuzzy multisets and hypergroups. In particular, we use fuzzy multisets to introduce the concept of fuzzy multi-hypergroups as a generalization of ...
Sarka Hoskova-Mayerova +2 more
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Generalized derivations and generalized exponential monomials on hypergroups [PDF]
Opuscula Mathematica, 2023 In one of our former papers "Endomorphisms of the measure algebra of commutative hypergroups" we considered exponential monomials on hypergroups and higher order derivations of the corresponding measure algebra.
Żywilla Fechner +2 more
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Commutativity and Completeness Degrees of Weakly Complete Hypergroups
Mathematics, 2022 We introduce a family of hypergroups, called weakly complete, generalizing the construction of complete hypergroups. Starting from a given group G, our construction prescribes the β-classes of the hypergroups and allows some hyperproducts not to be ...
Mario De Salvo +3 more
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