Ordered semihypergroups

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August undefined, 2024

WebIn this paper, we extend the notion of LA-semihypergroups (resp. Hv-LA-semigroups) to neutro-LA-semihypergroups (respectively, neutro-Hv-LA-semigroups). Anti-LA-semihypergroups (respectively, anti-Hv-LA-semigroups) are studied and investigated some of their properties. We show that these new concepts are different from classical … Webto 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.

A short note on the left A-Γ-hyperideals in ordered Γ-semihypergroups

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. WebSemigroup definition, an algebraic system closed under an associative binary operation. See more. chrome plating portland indiana

On the Paper "On hyperideals of ordered semihypergroups" by …

Websemigroup: [noun] a mathematical set that is closed under an associative binary operation. Web{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,1,29]],"date-time":"2024-01-29T03:51:15Z","timestamp ... Webof 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]. chrome plating peterborough

A Study on k -Hyperideals in Ordered Semihyperrings

Study on Green’s relations in ordered semihypergroups

WebFinally, the notion of an $(m,n)$-quasi-hypersimple ordered semihypergroup is introduced and some properties of $(m,n)$-quasi-hypersimple ordered semihypergroups are studied. We further show that, on any $(m,n)$-quasi-hypersimple ordered semihypergroup, the relations $\mathcal{Q}_m^n$ and $\mathcal{Q}$ are equal and are universal relations. 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 … chrome plating on copperWebMar 15, 2016 · In this paper, we introduce the concepts of ordered regular (strongly ordered regular) equivalence relations on ordered semihypergroups, and construct an ordered … chrome plating on titanium

"" - Ordered semihypergroups

Ordered semihypergroups

Structural properties for $(m,n)$-quasi-hyperideals in ordered ...

WebNov 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. … 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 …

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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]. 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 …

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. 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 …

WebNov 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. 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.

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 ...

WebMay 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 ... chrome plating on aluminum wheelsWebAug 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. chrome plating ottawaWebJan 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. … chrome plating reno nevadaWebApr 25, 2024 · In this paper, we introduce the concept of j -hyperfilters, for all positive integers 1 ≤ j ≤ n and n ≥ 2, on (ordered) n -ary semihypergroups and establish the relationships between j -hyperfilters and completely prime j -hyperideals of (ordered) n -ary semihypergroups. chrome plating removalWebA 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. chrome plating on long islandWebJun 30, 2024 · In this paper, we introduce the concept of weakly semiprime segments in an ordered semihypergroup and classify weakly semiprime segments of an … chrome plating services near 44039WebON 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 … chrome plating pot metal near me