Results 1 to 10 of about 61 (53)
New Aspects in the Theory of Complete Hypergroups
IOCMA 2023, 2023 The aim of this paper is to review the most important properties and applications of the complete hypergroups. We will focus on the reversibility, regularity and reducibility properties, on the class equation and the commutativity degree of the complete hypergroups, as well as on the Euler’s totient function defined in this kind of hypergroups.
Irina Cristea
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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 complete parts, based on a suitably defined relation over G.
Mario De Salvo +3 more
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Complete parts and subhypergroups in reversible regular hypergroups
Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică, 2022 Abstract 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. After an introduction in which basic notions and results of hypergroup theory are presented, particularly ...
Leoreanu-Fotea V. +3 more
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The Class Equation and the Commutativity Degree for Complete Hypergroups [PDF]
Mathematics, 2020 The aim of this paper is to extend, from group theory to hypergroup theory, the class equation and the concept of commutativity degree. Both of them are studied in depth for complete hypergroups because we want to stress the similarities and the differences with respect to group theory, and the representation theorem of complete hypergroups helps us in
Andromeda Cristina Sonea, Irina Cristea
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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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Euler's totient function applied to complete hypergroups
AIMS Mathematics, 2023 <abstract><p>We study the Euler's totient function (called also the Euler's phi function) in the framework of finite complete hypergroups. These are algebraic hypercompositional structures constructed with the help of groups, and endowed with a multivalued operation, called hyperoperation.
Sonea, Andromeda Cristina +1 more
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On the γn∗-complete hypergroups
European Journal of Combinatorics, 2007 AbstractThe class of γn∗-complete hypergroups is introduced. Several properties and examples are found.
Bijan Davvaz, M. Karimian
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Discrete Mathematics, 1999 The authors introduce the class of \(n^*\)-complete hypergroups which is a generalization of the well known class of \(n\)-complete hypergroups. The difference is that in \(n^*\)-complete hypergroups the fundamental relation \(\beta^*\) is used instead of the \(\beta\) relation. A hypergroup is a group iff it is \(1^*\)-complete.
DE SALVO, Mario, LO FARO, Giovanni
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On topological complete hypergroups
Filomat, 2017 One of the main obstacles before the development of the theory of topological hypergroups is the fact that translation of open sets may not be open in this setting. In this paper, we get rid of such obstacle by introducing the concept of topological complete hypergroups and investigate some of their properties.
Singha, Manoranjan +2 more
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(Intuitionistic) Fuzzy Grade of a Hypergroupoid: A Survey of Some Recent Researches
Ratio Mathematica, 2012 This paper aims to present a short survey on two numerical functions determined by a hypergroupoid, called the fuzzy grade and the intuitionistic fuzzy grade of a hypergroupoid.
Irina Cristea
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