Results 41 to 50 of about 165 (103)
Some Algebraic Classification of Semiregular Hypermodules in Connection to the Radical
Journal of Mathematics, Volume 2024, Issue 1, 2024.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 Fuzzy Ordered Hyperideals in Ordered Semihyperrings
Advances in Fuzzy Systems, Volume 2019, Issue 1, 2019., 2019 In this paper, we introduce the concept of fuzzy ordered hyperideals of ordered semihyperrings, which is a generalization of the concept of fuzzy hyperideals of semihyperrings to ordered semihyperring theory, and we investigate its related properties. We show that every fuzzy ordered quasi‐hyperideal is a fuzzy ordered bi‐hyperideal, and, in a regular ...
O. Kazancı +3 more
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Rough Hyperfilters in Po‐LA‐Semihypergroups
Discrete Dynamics in Nature and Society, Volume 2019, Issue 1, 2019., 2019 This paper concerns the study of hyperfilters of ordered LA‐semihypergroups, and presents some examples in this respect. Furthermore, we study the combination of rough set theory and hyperfilters of an ordered LA‐semihypergroup. We define the concept of rough hyperfilters and provide useful examples on it.
Ferdaous Bouaziz +2 more
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On (∈, ∈∨qk)‐Fuzzy Hyperideals in Ordered LA‐Semihypergroups
Discrete Dynamics in Nature and Society, Volume 2018, Issue 1, 2018., 2018 The concept of (∈, ∈∨qk)‐fuzzy hyperideal of an ordered LA‐semihypergroup is introduced by the ordered fuzzy points, and related properties are investigated. We study the relations between different (∈, ∈∨qk)‐fuzzy hyperideal of an ordered LA‐semihypergroup. Furthermore, we study some results on homomorphisms of (∈, ∈∨qk)‐fuzzy hyperideals.
Muhammad Azhar +4 more
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Fuzzy Γ‐Hyperideals in Γ‐Hypersemirings by Using Triangular Norms
The Scientific World Journal, Volume 2014, Issue 1, 2014., 2014 The concept of Γ‐semihyperrings was introduced by Dehkordi and Davvaz as a generalization of semirings, semihyperrings, and Γ‐semiring. In this paper, by using the notion of triangular norms, we define the concept of triangular fuzzy sub‐Γ‐semihyperrings as well as triangular fuzzy Γ‐hyperideals of a Γ‐semihyperring, and we study a few results in this ...
B. A. Ersoy +4 more
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Penentuan Hiperstruktur Aljabar dan Karakteristiknya dalam Masalah Pewarisan Biologi
Jambura Journal of MathematicsThis article discusses the application of mathematics in biological inheritance problems, which are closely linked to mathematical studies, particularly in algebraic hyperstructures, including hypergroupoids, hypergroups, and -semigroups.
Alifa Raida Alamsyah +2 more
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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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n-hypergroups and binary relations
, 2008 In this paper, we introduce and study the notion of a partial n-hypergroupoid, associated with a binary relation. Some important results concerning Rosenberg partial hypergroupoids, induced by relations, are generalized to the case of n-hypergroupoids ...
Leoreanu-Fotea, V., Davvaz, B.
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Binary relations and reduced hypergroups
, 2008 Different partial hypergroupoids are associated with binary relations defined on a set H. In this paper we find sufficient and necessary conditions for these hypergroupoids in order to be reduced hypergroups.
Cristea, Irina, Ştefănescu, Mirela
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Green's Relations for Hypergroupoids
European Journal of Pure and Applied Mathematics, 2018 We give some information concerning the Green's relations $\cal R$ and $\cal L$ in hypergroupoids extending the concepts of right (left) consistent or intra-consistent groupoids in case of hypergroupoids. We prove, for example, that if an hypergroupoid $H$ is right (left) consistent or intra-consistent, then the Green's relations $\cal R$ and $\cal L ...
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