Results 21 to 30 of about 1,315,581 (82)
On ordered G-semihypergroups Containing Two-sided Bases [PDF]
, 2021 The main purpose of this paper is to study the concept of an ordered G-semihypergroup containing two-sided bases that are studied analogously to the concept of G-semigroup containing two-sided bases considered by Thawhat Changpas and Pisit Kummoon in ...
Budpan, Chanon +2 more
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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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Factorizable Ordered Hypergroupoids with Applications
Mathematical Problems in Engineering, Volume 2021, Issue 1, 2021., 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 +4 more
wiley +1 more source
Carpathian Mathematical Publications, 2019 The concept of $\Gamma$-semihypergroups is a generalization of semigroups, a generalization of semihypergroups and a generalization of $\Gamma$-semigroups. In this paper, we study the notion of bi-$\Gamma$-hyperideals in ordered $\Gamma$-semihypergroups and investigate some properties of these bi-$\Gamma$-hyperideals. Also, we define and use the notion
S. Omidi, B. Davvaz, K. Hila
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On characterization of regular ordered ternary semihypergroups by relative hyperideals
, 2021 In the present paper, we introduce the relative left, right, lateral, two-sided hyperideal, relative quasi-hyperideal, relative bi-hyperideal, relative sub-idempotent ordered bi-hyperideal, relative generalized quasi-hyperideal, relative generalized bi-hyperideal, relative regularity of ordered ternary semihypergroups and relative left (right, lateral)
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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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Some Properties of Multiplicative Hv‐Rings of Polynomials over Multiplicative Hyperrings
Algebra, Volume 2014, Issue 1, 2014., 2014 The set of all polynomials R[x], over a multiplicative hyperring (R, + , ·), form a commutative group with respect to the component‐wise addition (+) of the polynomials. For polynomials f, g in R[x], f*g is a set of polynomials whose (k + 1)th components k∈N∪0 are chosen from the set ∑i+j=kai · bj, where ai and bj are the (i + 1)th and the (j + 1)th ...
Utpal Dasgupta, Andrei V. Kelarev
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Structure of Intuitionistic Fuzzy Sets in Γ‐Semihyperrings
Abstract and Applied Analysis, Volume 2013, Issue 1, 2013., 2013 As we know, intuitionistic fuzzy sets are extensions of the standard fuzzy sets. Now, in this paper, the basic definitions and properties of intuitionistic fuzzy Γ‐hyperideals of a Γ‐semihyperring are introduced. A few examples are presented. In particular, some characterizations of Artinian and Noetherian Γ‐semihyperring are given.
Bayram Ali Ersoy +2 more
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Γ‐Semihypergroups and Regular Relations
Journal of Mathematics, Volume 2013, Issue 1, 2013., 2013 In this paper we discuss the structure of Γ‐semihypergroups. We prove some basic results and present several examples of Γ‐semihypergroups. Also, we obtain some properties of regular and strongly regular relations on a Γ‐semihypergroup and construct a Γ‐semigroup from a Γ‐semihypergroup by using the notion of fundamental relation.
S. Mirvakili +3 more
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Characterization of (m, n)-regular ordered semihypergroups
FilomatWe, first, characterize (m, n)-hyperideals of ordered semihypergroups in terms of its (m, 0)-hyperideals and (0, n)-hyperideals as well as minimality of (m, n)-hyperideals of ordered semihypergroups in terms of its minimal (m, 0)-hyperideals and minimal (0, n)-hyperideals.
Md Ali, Noor Khan
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