Results 1 to 10 of about 637 (81)
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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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 ...
Andromeda Cristina Sonea, Irina Cristea
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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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Soft Substructures in Quantales and Their Approximations Based on Soft Relations. [PDF]
Comput Intell Neurosci, 2022 The aim of this research article is to derive a new relation between rough sets and soft sets with an algebraic structure quantale by using soft binary relations. The aftersets and foresets are utilized to define lower approximation and upper approximation of soft subsets of quantales.
Zhou H +5 more
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New Aspects in the Theory of Complete Hypergroups
Computer Sciences & Mathematics Forum, 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 ...
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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Interpolation by Hankel translates of a basis function: inversion formulas and polynomial bounds. [PDF]
ScientificWorldJournal, 2014 For μ ≥ −1/2, the authors have developed elsewhere a scheme for interpolation by Hankel translates of a basis function Φ in certain spaces of continuous functions Yn (n ∈ ℕ) depending on a weight w. The functions Φ and w are connected through the distributional identity t4n(hμ′Φ)(t)=1/w(t), where hμ′ denotes the generalized Hankel transform of order μ.
Arteaga C, Marrero I.
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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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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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