Results 1 to 10 of about 1,283 (167)
Fuzzy Reduced Hypergroups [PDF]
Mathematics, 2020 The fuzzyfication of hypercompositional structures has developed in several directions. In this note we follow one direction and extend the classical concept of reducibility in hypergroups to the fuzzy case.
Milica Kankaras, Irina Cristea
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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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Algebraic Quantum Hypergroups [PDF]
Advances in Mathematics, 2006 An algebraic quantum group is a multiplier Hopf algebra with integrals. In this paper we will develop a theory of algebraic quantum hypergroups. It is very similar to the theory of algebraic quantum groups, except that the comultiplication is no longer assumed to be a homomorphism. We still require the existence of a left and of a right integral. There
L. Delvaux, Alfons Van Daele
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On the semi-sub-hypergroups of a hypergroup [PDF]
International Journal of Mathematics and Mathematical Sciences, 1991 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 ...
Ch. G. Massouros
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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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On Certain Proximities and Preorderings on the Transposition Hypergroups of Linear First-Order Partial Differential Operators [PDF]
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2014 The contribution aims to create hypergroups of linear first-order partial differential operators with proximities, one of which creates a tolerance semigroup on the power set of the mentioned differential operators.
Chvalina Jan +1 more
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Symmetrization of monoïds as hypergroups [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2013 The purpose of the present paper is to investigate a hypergroup associated with irreducible characters of a compact hypergroup $H$ and a closed subhypergroup $H_0$ of $H$ with $|H/H_0|< +\infty$. The convolution of this hypergroup is introduced by inducing irreducible characters of $H_0$ to $H$ and by restricting irreducible characters of $H$ to ...
Simon Henry
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\alpha-Amenable Hypergroups [PDF]
, 2009 Let $K$ denote a locally compact commutative hypergroup, $L^1(K)$ the hypergroup algebra, and $\alpha$ a real-valued hermitian character of $K$. We show that $K$ is $\alpha$-amenable if and only if $L^1(K)$ is $\alpha$-left amenable. We also consider the $\alpha$-amenability of hypergroup joins and polynomial hypergroups in several variables as well as
Ahmadreza Azimifard
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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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