Ordered semihypergroups
WebThis chapter deals with the concept of ordered semihypergroups. An ordered semihypergroup is a semihypergroup together with a partial order relation such that the … WebMar 18, 2024 · Especially, semihypergroups are the simplest algebraic hyperstructures which possess the properties of closure and associativity. Nowadays many scholars have studied different aspects of semihypergroups (see Pibaljommee and Davvaz 2015; Heidari and Davvaz 2011; Tang et al. 2016; Changphas and Davvaz 2015 ).
Ordered semihypergroups
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WebSemigroup definition, an algebraic system closed under an associative binary operation. See more. WebA 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.
Web开馆时间：周一至周日7:00-22:30 周五 7:00-12:00; 我的图书馆 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.
WebMay 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 … 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.
WebFeb 1, 2015 · Indeed, an ordered semihypergroup is a semihypergroup together with a partial order that is compatible with the hyperoperation . Now, in this paper, by using the notion of pseudoorder on an ordered semigroup , we obtain an ordered semigroup. The paper is structured as follows.
WebOct 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. detox bath causing breakoutsWebNov 23, 2024 · Download PDF. In this paper, the notion of weak hyperfilters of an ordered semihypergroup is introduced, and several related properties and applications are given. … churchatrockcreek.com/media/liveWebMar 15, 2016 · In this paper, we introduce the concepts of ordered regular (strongly ordered regular) equivalence relations on ordered semihypergroups, and construct an ordered … church at pine ridge manitobaWebThere 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 ... detox banana berry smoothie recipeWebof hyperstructures to ordered semigroups and introduced the concept of ordered semihypergroups, also see [2, 6]. It is well known that regular and strongly regular equivalence relations of ordered semihypergroups always play important roles in the study of ordered semihypergroups structure. For more details, the reader is referred to [6, 9]. church at philippi one of paul\u0027s favoritesWebIn 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 … church at philippi historyWebJun 2, 2016 · No minimum order Description Semihypergroup Theory is the first book devoted to the semihypergroup theory and it includes basic results concerning semigroup … detox bath every night