Ordered semihypergroups
WebAn ordered Γ-semihypergroup ( S, Γ, ≤) has no proper left A-Γ-hyperideal if and only if for any x ∈ S, there exists a x ∈ S such that ( a x Γ ( S ∖ { x })] = { x }, where S > 1. Proof. Necessity. By hypothesis, S ∖ { x } is not a left A -Γ-hyperideal. Thus, there exists a x ∈ S such that ( a x Γ ( S ∖ { x })] ∩ ( S ∖ { x }) = ∅. WebAn ordered monoid and an ordered group are, respectively, a monoid or a group that are endowed with a partial order that makes them ordered semigroups. The terms …
Ordered semihypergroups
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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. 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 …
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 WebBy extension, an ordered semigroup T recognizes an order ideal I of S if there exists a surjective morphism of ordered semigroups φ: S → T that recognizes I.Finally, an order …
WebIn this paper, the concept of ordered fuzzy points of ordered semihypergroups is introduced. By using this new concept, we define and study the fuzzy left, right and two-sided hyperideals of an ordered semihypergroup. In particular, we investigate the properties of fuzzy hyperideals generated by ordered fuzzy points of an ordered semihypergroup. WebIndeed, the concept of ordered semihypergroups is a generalization of the concept of ordered semigroups. In this paper, we study some aspects of hyperideals of ordered …
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 $-semirings. …
WebMar 22, 2024 · We studied the anti-involution hyperideals of ordered anti-involution LA-semihypergroups using the rough set theory. In an ordered anti-involution LA … dwight howard houston rocketsWebMay 7, 2024 · Abstract. This paper concerns the relationship between rough sets, - fuzzy sets, and the LA-semihypergroups. We proved that the lower approximation ( - approx) and the upper approximation ( - approx) of different hyperideals of LA-semihypergroups become again hyperideal and also provided some examples. We also provided a result which … dwight howard magic statsWebThere are also two results obtained from ordered semigroups just putting a ``$\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 ... dwight howard jrue holidayWebA 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. dwight howard how many kidsWebMar 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. … crystalize blue warmerWebMar 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 ). crystalized animalsWebOct 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. dwight howard hornets