Websemigroup: [noun] a mathematical set that is closed under an associative binary operation. WebMay 17, 2024 · The concept of almost interior -hyperideals (-hyperideals) in ordered -semihypergroups is a generalization of the concept of interior -hyperideals (-hyperideals). …
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WebAug 1, 2024 · The Green’s relations R,L,Jand Hin ordered semihypergroups are first introduced, and the relations between them are given. Furthermore, we investigate the properties of Green’s relations in ordered semihypergroups. 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 …
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. Webin semihypergroups. Heideri et al [6] studied ordered hyperstructures. Recently, Basar et al [3] studied relative hyperideals in ordered ternary semihypergroups. For detailed theory and appli-cations of semihypergroups and hyperstructures, one can refer to the monographs by Corsini, Leoreanu and Davvaz [5], [22], [23].
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 }) = ∅. WebSemigroup definition, an algebraic system closed under an associative binary operation. See more.
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.
WebWe also show that, in an $(m,n)$-regular ordered semihypergroup, the relation $\mathcal{Q}_m^n$ coincides with the relation $\mathcal{Q}$. Finally, the notion of an … nottinghamshire term timesWebA 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. how to show page breaks in wordWebFeb 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. how to show page in wordWebJul 18, 2012 · An investigation on ordered algebraic hyperstructures S. Omidi, B. Davvaz, J. Zhan Mathematics 2024 In this paper, we present some basic notions of simple ordered semihypergroups and regular ordered Krasner hyperrings and prove some results in this respect. In addition, we describe pure hyperideals… 7 Fully simple semihypergroups nottinghamshire tip opening timesWebto ordered semihypergroups and introduced the notion of ordered n-ary semihypergroups for n ≥2. Such new notion is a natural generalization of ordered semigroups, ordered semihypergroups, ordered ternary semigroups and ordered ternary semihypergroups. Also, they characterized several kinds of regularities of ordered n-ary semihypergroups. how to show page breaks in wordpadWebNov 23, 2024 · In this paper, the notion of weak hyperfilters of an ordered semihypergroup is introduced, and several related properties and applications are given. In particular, we discuss the relationship between the weak hyperfilters and the prime hyperideals in ordered semihypergroups. how to show page lines in excelWebIn 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. nottinghamshire tennis league