Results 41 to 50 of about 111 (83)
On the paper “A study on (strong) order-congruences in ordered semihypergroups”
Summary: Throughout the paper in the title by \textit{J. Tang} et al. [Turk. J. Math. 42, No. 3, 1255--1271 (2018; Zbl 1424.06069)] the following lemma has been used. \textbf{Lemma}: \textit{Let} \((S, \ast)\) \textit{be a semihypergroup and} \(\rho\) \textit{an equivalence relation on} \(S\).
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On (∈,∈∨qk)-Fuzzy Hyperideals in Ordered LA-Semihypergroups
The concept of (∈,∈∨qk)-fuzzy hyperideal of an ordered LA-semihypergroup is introduced by the ordered fuzzy points, and related properties are investigated.
Muhammad Azhar +3 more
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A study on weak hyperfilters of ordered semihypergroups
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Jian Tang, Xiang-Yun Xie, Ze Gu
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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
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
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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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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A study on (strong) order-congruences in ordered semihypergroups
Summary: In this paper, we introduce the concepts of order-congruences and strong order-congruences on an ordered semihypergroup \(S,\) and obtain the relationship between strong order-congruences and pseudoorders on \(S\). Furthermore, we characterize the (strong) order-congruences by the \(\rho\)-chains, where \(\rho\) is a (strong) congruence on \(S\
Tang, Jian, Luo, Yanfeng, Xie, Xiangyun
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Some Algebraic Classification of Semiregular Hypermodules in Connection to the Radical
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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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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