Results 1 to 10 of about 249 (101)
The Hypergroupoid Semigroups as Generalizations of the Groupoid Semigroups [PDF]
Journal of Applied Mathematics, 2012 We introduce the notion of hypergroupoids (𝐻Bin(𝑋),□), and show that (𝐻Bin(𝑋),□) is a super-semigroup of the semigroup (Bin(𝑋),□) via the identification 𝑥↔{𝑥}. We prove that (𝐻Bin∗(𝑋),⊖,[∅]) is a 𝐵𝐶𝐾-algebra, and obtain several properties of (𝐻Bin∗(𝑋),□).
Jeong Soon Han, Hee Sik Kim, J. Neggers
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Computers and Mathematics With Applications, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sárka Hoskova-Mayerova
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On the Prime Radical of a Hypergroupoid [PDF]
Journal of Mathematics and Statistics, 2005 In this study, we give definitions of a prime ideal, a s-semiprime ideal and a w-semiprime ideal for a hypergroupoid K. For an ideal A of K we show that radical of A (R(A)) can be represented as the intersection of all prime ideals of K containing A and we define a strongly A-nilpotent element.
Gürsel Yeşilot
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Factorizable Ordered Hypergroupoids with Applications [PDF]
Mathematical Problems in Engineering, 2021 In this study, we propose the concept of factorizable ordered hypergroupoids (semihypergroups) and present several of its properties. Our goal is to construct ordered hypergroupoid from blood groups together with some other information. Finally, we discuss right magnifying elements for further research.
Xiaolong Shi +3 more
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Locally Compact Hypergroupoids
Indian Journal of Pure and Applied Mathematics, 2020 The authors study locally compact hypergroupoids. Hypergroupoids generalize both hypergroups and groupoids. The authors assume the continuity of the map \((x, y) \mapsto \operatorname{supp}(\delta_{x} \ast \delta_{y})\) and show that the adjoint property in Renault's definition of the left Haar system follows automatically.
Tabatabaie, S.M. +3 more
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On fuzzy prime and fuzzy semiprime ideals of hypergroupoids [PDF]
Journal of Hyperstructures, 2016 We deal with an hypergroupoid endowed with a rela- tion denoted by \", we call it{hypergroupoid. We prove that a nonempty subset A of a{hypergroupoid H is a prime (resp. semiprime) ideal of H if and only if the characteristic function fA is a fuzzy prime
Niovi Kehayopulu
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Hypergroups and n-ary relations
European Journal of Combinatorics, 2010 In this paper we associate a hypergroupoid with an n-ary relation @r defined on a nonempty set H. We investigate when it is an H"v-group, a hypergroup or a join space.
Irina Cristea
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Introduction to Dependence Relations and Their Links to Algebraic Hyperstructures
Mathematics, 2019 The aim of this paper is to study, from an algebraic point of view, the properties of interdependencies between sets of elements (i.e., pieces of secrets, atmospheric variables, etc.) that appear in various natural models, by using the algebraic ...
Irina Cristea +2 more
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Regularity of Intuitionistic Fuzzy Relations on Hypergroupoids [PDF]
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2014 In this paper we introduce the notions of regular and strongly regular intuitionistic fuzzy relations on hypergroupoids, studying some related properties and connections with the classical case. Then we investigate the lattice structure of these kinds of
Cristea Irina
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Hypergroupoids as Tools for Studying Blood Group Genetics
INTERNATIONAL JOURNAL of FUZZY LOGIC and INTELLIGENT SYSTEMS, 2021 We initially introduce the concepts of an m-right (m-left) hyperideal and an m-hyperideal in a hypergroupoid. The ideas behind an m-factor and a generalized m-factor are then introduced. Next, we demonstrate the existence and important properties of these sub-hyperstructures through theorems and examples. We then define the m-right (m-left) consistent,
Mohammad Munir +5 more
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