Results 51 to 60 of about 1,252 (129)
Amenability notions of hypergroups and some applications to locally compact groups
Different notions of amenability on hypergroups and their relations are studied. Developing Leptin's theorem for discrete hypergroups, we characterize the existence of a bounded approximate identity for hypergroup Fourier algebras.
Alaghmandan, Mahmood
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This paper initiates a study of Z-hypergroups, that is, commutative topological hypergroups K such that K / Z K/Z is compact where Z denotes the maximum subgroup (equivalently, the center) of K.
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The non-commuting graph of a non-central hypergroup
The aim of this paper is to construct and study the properties of a certain graph associated with a non-central hypergroup, i.e. a hypergroup having non-commutative the associated fundamental group.
Iranmanesh Mahdiyeh +2 more
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Derived Hyperstructures from Hyperconics
In this paper, we introduce generalized quadratic forms and hyperconics over quotient hyperfields as a generalization of the notion of conics on fields.
Vahid Vahedi +5 more
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Approximations in hypergroups and fuzzy hypergroups
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Ordered Left Almost ⋇‐Semihypergroups Based on Fuzzy Sets
The concept of an involution or anti‐involution is a self‐inverse linear mapping that plays a prominent role in the theory of algebraic structures, particularly rings, hyperrings, ordered semigroups, and ordered semihypergroups. Nowadays, the study of involutions in ordered hyperstructures is a particular area of research in the field of hyperstructure
Nabilah Abughazalah +2 more
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Strongly regular relations on regular hypergroups [PDF]
Hypergroups that have at least one identity element and where each element has at least one inverse are called regular hypergroup. In this regards, for a regular hypergroup $H$, it is shown that there exists a correspondence between the set of all ...
Reza Ameri, Behnam Afshar
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The main aim of this paper is to generalize the concept of vector space by the hyperstructure. We generalize some definitions such as hypersubspaces, linear combination, Hamel basis, linearly dependence and linearly independence.
Roy, Sanjay, Samanta, T. K.
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Some Algebraic Classification of Semiregular Hypermodules in Connection to the Radical
We call a Krasner right S‐hypermodule A regular if each cyclic subhypermodule of A is a direct summand of A, and we also call A semiregular if every finitely generated subhypermodule of A lies above a direct summand of A. In this study, some properties of such hypermodules are achieved.
Yıldız Aydın +2 more
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On the semi‐sub‐hypergroups of a hypergroup [PDF]
In this paper we study some properties of the semi‐sub‐hypergroups and the closed sub‐hypergroups of the hypergroups. We introduce the correlated elements and the fundamental elements and we connect the concept antipodal of the latter with Frattin′s hypergroup. We also present Helly′s Theorem as a corollary of a more general Theorem.
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