Results 51 to 60 of about 409,521 (101)
Discussiones Mathematicae - General Algebra and Applications, 2020 This note is written to show that the definition of the LA- Γ -hypersemi-group and the definition of the ordered LA- Γ -hypersemigroup in [2] should be corrected and that it is not enough to replace the “Γ” of the ordered LA-Γ-semigroup by “◦ Γ ◦” to ...
Kehayopulu Niovi
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On soft ordered ternary semihypergroups
International Journal of Algebra and Statistics, 2018 Theory of soft sets proposed by Molodtsov as a general framework for reasoning about vague concepts is a powerful mathematical tool for modelling various types of uncertainties. In this paper, we introduce the notions of intersectional soft subsemihypergroup, intersectional soft left (lateral, right) hyperideal of ordered ternary semihypergroups and ...
Bijan Davvaz +3 more
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C-Γ-hyperideal Theory in Ordered Γ-semihypergroups
Journal of Mathematical and Fundamental Sciences, 2017 Our purpose in this article is to characterize the properties of C-Γ-hyperideals in ordered Γ-semihypergroups. As an application of the results of this paper, the corresponding results of ordered semihypergroups can also be obtained by moderate ...
Saber Omidi , Bijan Davvaz
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Karpatsʹkì Matematičnì Publìkacìï, 2019 The concept of $\Gamma$-semihypergroups is a generalization of semigroups, a generalization of semihypergroups and a generalization of $\Gamma$-semigroups.
S. Omidi, B. Davvaz, K. Hila
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On generalized fuzzy sets in ordered LA-semihypergroups
Proceedings of the Estonian Academy of Sciences, 2019 Using the notion of generalized fuzzy sets, we introduce the notions of generalized fuzzy hyperideals, generalized fuzzy bi-hyperideals, and generalized fuzzy normal bi-hyperideals in an ordered nonassociative and non-commutative algebraic structure ...
M. Gulistan +3 more
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On Relative (2, 2)-Γ-hyperideals of 2-duo Ordered Γ-semihypergroups
Annals of Communications in MathematicsIn this paper, first we obtain the necessary and sufficient condition for an ordered Γ-semihypergroup H to be a relative completely regular 2-duo ordered Γ-semihypergroup for any relative (2, 2)-Γ-hyperideal as well as for any relative (2, 2)-quasi-Γ ...
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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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Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2014 The contribution aims to create hypergroups of linear first-order partial differential operators with proximities, one of which creates a tolerance semigroup on the power set of the mentioned differential operators.
Chvalina Jan +1 more
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The embedding of an ordered semihypergroup in terms of fuzzy sets
, 2017 Naka, Krisanthi +3 more
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On the paper “Regular equivalence relations on ordered ∗-semihypergroups”
TURKISH JOURNAL OF MATHEMATICS, 2021 Summary: If \((S, \circ, \leq)\) is an ordered hypersemigroup, an equivalence relation \(\rho\) on \(S\) is called congruence if \((a, b)\in\rho\) implies \((a\circ x, b\circ x)\in\rho\) and \((x\circ a, x\circ b)\in\rho\) for every \(x\in S\); in the sense that for every \(u\in a\circ x\) there exists \(v\in b\circ x\) such that \((u, v)\in\rho\) and ...
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