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Ordered semihypergroups

WebJun 30, 2024 · In this paper, we introduce the concept of weakly semiprime segments in an ordered semihypergroup and classify weakly semiprime segments of an … 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.

Subsemigroup - an overview ScienceDirect Topics

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 … WebSemigroup definition, an algebraic system closed under an associative binary operation. See more. founder cubremi https://mkbrehm.com

A study on weak hyperfilters of ordered semihypergroups - AIMS …

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 … Ordered semigroups have many applications in the theory of sequential machines, formal languages and error-correcting codes. Many authors, especially Kehayopulu ( 1990, 1991, 1992 ), Kehayopulu and Tsingelis ( 1993 ), Blyth and Janowtz ( 1972 ), Satyanarayana ( 1979, 1988) and Xie ( 2000 ), studied different … See more Let S be an ordered semihypergroup. The Green’s relations of S are the equivalence relations {{\mathcal {R}}}, {{\mathcal {L}}},{{\mathcal {J}}} and {{\mathcal {H}}} of Sdefined as follows: We denote by (x)_{{{\mathcal {R}}}} … See more Similar to Theorem 1(3), there is an important result in the theory of semigroups (ordered semigroups): Every prime ideal of a semigroup (an ordered semigroup) can be decomposable into its {{\mathcal {N}}} … See more Let Sbe an ordered semihypergroup. Then, the following statements hold: (1) If {{\mathcal {A}}} is the set of all right hyperideals, … See more (1) We only prove the first equality, the others are analogous. Let (x,y)\in {{\mathcal {R}}}. We shall prove that (x,y)\in \delta _I for any I\in {{\mathcal {A}}}. Indeed, if (x,y)\not \in \delta _I for some I\in {{\mathcal … See more 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. … disadvantages of puberty rites in ghana

Semilattice strongly regular relations on ordered -ary semihypergroups

Category:Characterizations of ordered semihypergroups by the ... - Springer

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Ordered semihypergroups

Ordered Semigroup - an overview ScienceDirect Topics

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 … 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 }) = ∅.

Ordered semihypergroups

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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. … 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].

WebJun 2, 2016 · No minimum order Description Semihypergroup Theory is the first book devoted to the semihypergroup theory and it includes basic results concerning semigroup … WebThis chapter deals with the concept of ordered semihypergroups. An ordered semihypergroup is a semihypergroup together with a partial order relation such that the …

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. WebMay 20, 2024 · ordered LA-semihypergroups, quasi-hyperfilter, interior hyperfilter, rough sets; Citation: Naveed Yaqoob, Jian Tang. Approximations of quasi and interior hyperfilters in partially ordered LA-semihypergroups[J]. AIMS Mathematics, 2024, 6(8): 7944-7960. doi: 10.3934/math.2024461

Websemigroup: [noun] a mathematical set that is closed under an associative binary operation.

WebMar 15, 2016 · In this paper, we introduce the concepts of ordered regular (strongly ordered regular) equivalence relations on ordered semihypergroups, and construct an ordered … disadvantages of public interestWeb开馆时间：周一至周日7:00-22:30 周五 7:00-12:00; 我的图书馆 founder của momoWebON 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 … founder customer fitWebof 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]. founder cvWebOct 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. founderdating.comWebMar 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 … founder dating reviewsWebBy 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 … founder demica