Ordered semihypergroups
WebA. Khan, M. Farooq and B. Davvaz, Characterizations of ordered semihypergroups by the properties of their intersectional-soft generalized bi-hyperideals, Soft Computing 22 (2024) 3001–3010. ISI, Google Scholar; 11. M. A. Kazim and M. Naseeruddin, On almost semigroups, The Aligarh Bulletin of Mathematics 2 (1972) 1–7. Google Scholar; 12. Q. WebON HYPERIDEALS OF ORDERED SEMIHYPERGROUPS 693 A hypergroupoid (S; ) is a nonempty set S together with a hyperoperation or hypercomposition, that is a mapping : S S ! P (S), where P (S) denotes the family of all nonempty subsets of S.If x 2 S and A;B are nonempty subsets of S, then we denote A B = ∪ a2A;b2B a b;x A = fxg A and A x = A fxg. A …
Ordered semihypergroups
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WebA variety of finite ordered semigroups is a class of finite ordered semigroups V such that: (1) if S ∈ V and if T is a subsemigroup of S, then T ∈ V, (2) if S ∈ V and if T is a quotient of S, then T ∈ V, (3) if ( Si) i∈I is a finite family of semigroups of V, then Π i∈I Si is also in V. WebJun 20, 2024 · This study pursues an investigation on L -semihypergroups equipped with an L -order. First, the concept of L -ordered L -semihypergroups is introduced by L -posets …
WebSemigroup definition, an algebraic system closed under an associative binary operation. See more. WebAug 1, 2024 · In this paper, we study the hyper versions of Green’s relations in ordered semihypergroups in detail. The Green’s relations R, L, J and H in ordered …
WebMar 15, 2016 · In [16], Heidari and Davvaz applied the hyperstructure theory to ordered semigroups and introduced the concept of ordered semihypergroups, which is a generalization of the concept of ordered semigroups. The hyperideals and hyperfilters of ordered semihypergroups were introduced by Changphas and Davvaz [3] and Tang et al. … WebMay 17, 2024 · The concept of almost interior -hyperideals (-hyperideals) in ordered -semihypergroups is a generalization of the concept of interior -hyperideals (-hyperideals). …
WebJan 12, 2024 · The purpose of this article is to investigate the class of intra-regular $ LA $-semihyperrings. Then, characterizations of intra-regular $ LA $-semihyperrings by the properties of many types of their hyperideals are obtained. Moreover, we present a construction of $ LA $-semihyperrings from ordered $ LA $-semirings. …
WebThere are also two results obtained from ordered semigroups just putting a ``$\circ$" instead of ``$\cdot$" (that isn't a correct way to work), without reference to ordered semigroups on which the results on ordered hypersemigroups are based. ... Kehayopulu, N. (2024). On the Paper "On hyperideals of ordered semihypergroups" by ZeGu in Ital. J ... darvel town hallWebA relation on an ordered LA-semihypergroup is called a pseudohyperorder if (1). (2) is transitive, that is implies for all (3) is compatible, that is if then and for all 3. Hyperfilters in Ordered LA-Semihypergroups Definition 8. Let be an ordered LA-semihypergroup. darvel west of scotland leagueWebJun 2, 2016 · No minimum order Description Semihypergroup Theory is the first book devoted to the semihypergroup theory and it includes basic results concerning semigroup … bitbake number of threadsWebOct 28, 2024 · The study of ordered semihypergroups is one interesting topic in hyperstructure theory. The notion of ordered semihypergroup was proposed by Heidari and Davvaz [ 3] in 2011. Recently, Shi et al. [ 4] also pioneered the notion of factorizable ordered hypergroupoids with applications. darvel v brechin cityWebMay 7, 2024 · Abstract. This paper concerns the relationship between rough sets, - fuzzy sets, and the LA-semihypergroups. We proved that the lower approximation ( - approx) and the upper approximation ( - approx) of different hyperideals of LA-semihypergroups become again hyperideal and also provided some examples. We also provided a result which … bitbake nothing providesWebMay 27, 2024 · This paper deals with a class of algebraic hyperstructures called ordered ternary semihypergroups which are studied in terms of int-soft hyperideals. We introduce the notion of int-soft hyperideals in ordered ternary semihypergroups and investigate some properties of them. We also introduce the concepts of convex soft sets and int-soft points ... bitbake obmc-phosphor-imageWebIn this study, we propose the concept of left extension of a hyperideal by generalizing the concept of k-hyperideals in ordered semihyperrings with symmetrical hyper-operation ⊕. By using the notion of extension of a k-hyperideal, we prove some results in ordered semihyperrings. The results of this paper can be viewed as a generalization for k-ideals of … darvel v brechin replay