Results 1 to 10 of about 1,071 (79)
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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1-Hypergroups of Small Sizes [PDF]
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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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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Quasi-Order Hypergroups and T-Hypergroups
Ratio Mathematica, 2017 Quasi-order hypergroups were introduced by J. Chvalina in 90s of the last century. They form a subclass of the class of all hypergroups, i.e. structures with one associative hyperoperation fulfilling the reproduction axiom.
Šárka Hošková-Mayerová
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Chemical Examples in Hypergroups [PDF]
Ratio Mathematica, 2003 Hypergroups first were introduced by Marty in 1934. Up to now many researchers have been working on this field of modern algebra and developed it. It is purpose of this paper to provide examples of hypergroups associated with chemistry.
B. Davvaz, A. Dehghan-Nezhad
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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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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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