Results 41 to 50 of about 305 (130)
A Study on A − I − Γ‐Hyperideals and (m, n) − Γ‐Hyperfilters in Ordered Γ‐Semihypergroups
Discrete Dynamics in Nature and Society, Volume 2021, Issue 1, 2021., 2021 The concept of almost interior Γ‐hyperideals (A − I − Γ‐hyperideals) in ordered Γ‐semihypergroups is a generalization of the concept of interior Γ‐hyperideals (I − Γ‐hyperideals). In this study, the connections between I − Γ‐hyperideals and A − I − Γ‐hyperideals in ordered Γ‐semihypergroups were presented.
Yongsheng Rao +5 more
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Hypergroupoids and C*-algebras [PDF]
Comptes Rendus. Mathématique, 2013 Let G be a locally compact groupoid. If X is a free and proper G -space, then ( X ⁎ X
Holkar, Rohit Dilip, Renault, Jean
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Approximations of (∈, ∈∨qk)‐Fuzzy Hyperideals in Ordered LA‐Semihypergroups
Mathematical Problems in Engineering, Volume 2021, Issue 1, 2021., 2021 This paper concerns the relationship between rough sets, (∈, ∈∨qk)‐fuzzy sets, and the LA‐semihypergroups. We proved that the lower approximation (l‐approx) and the upper approximation (u‐approx) of different hyperideals of LA‐semihypergroups become again hyperideal and also provided some examples.
Nabilah Abughazalah +3 more
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[Retracted] Topological Structures of Lower and Upper Rough Subsets in a Hyperring
Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021 In this paper, we study the connection between topological spaces, hyperrings (semi‐hypergroups), and rough sets. We concentrate here on the topological parts of the lower and upper approximations of hyperideals in hyperrings and semi‐hypergroups. We provide the conditions for the boundary of hyp‐ideals of a hyp‐ring to become the hyp‐ideals of hyp ...
Nabilah Abughazalah +3 more
wiley +1 more source
Algorithms for determining the type of algebraic hyperstructures and morphisms [PDF]
Mathematics and Computational SciencesIn this paper, we present some primary methods to define a hypergroupoid by algorithm. Then, we present algorithms for checking if it is closed under ο, associativity, weak associativity, commutativity, weak commutativity, establishing the reproduction ...
Aboutorab Pourhaghani +2 more
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Induced Representations and Hypergroupoids [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2014 This paper is submitted to the special issue of the journal SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) in honor of Marc A ...
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Hypergroupoids determined by lattices
European Journal of Combinatorics, 2010 The paper deals with hypergroupoids where the hyperoperation is determined by lattices. The main results are conditions under which the hyperoperation is associative and when a hypergroup is obtained.
Violeta Leoreanu Fotea, Ivo G. Rosenberg
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, 2021 In this article, we apply rough soft set to a special algebraic hyperstructure, which obtained of disjoint Γ-semihypergroups, and give the concept of rough soft semihypergroup.
N. R. Khorshid, S. Ostadhadi-Dehkordi
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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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