Ordered semihypergroups

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August undefined, 2024

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. 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 }) = ∅.

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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 … WebJul 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 incense how to make

Study on Green’s relations in ordered semihypergroups

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 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 … 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. income affidavit maryland health connection

A study on weak hyperfilters of ordered semihypergroups - AIMS …

Some Aspects of Hyperatom Elements in Ordered Semihyperrings

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]. WebON 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 … incense in churchWebMay 17, 2024 · The concept of almost interior -hyperideals (-hyperideals) in ordered -semihypergroups is a generalization of the concept of interior -hyperideals (-hyperideals). … income affect demand

"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 … " - Ordered semihypergroups

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. 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.

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

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 …

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 … 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.

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. …

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. incense influencerWebApr 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. income adjusted housing near bluffton scWebMar 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 ). income advance tax payment onlineWebAn 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 … income affect dietWebWe 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 … income affects healthWebA. 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. incense in washing machineWebMay 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 income affordability