Ordered semihypergroups

Author: wlgf

August undefined, 2024

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. WebApr 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.

Semihypergroup Theory - 1st Edition - Elsevier

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 … 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]. highlands ranch colorado cost of living

Semilattice strongly regular relations on ordered -ary semihypergroups

WebMay 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 … 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 highlands ranch family law

A Novel Study on Ordered Anti-Involution LA …

Study on Green’s relations in ordered semihypergroups

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 … 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. … highlands ranch fence brownWebsemigroup: [noun] a mathematical set that is closed under an associative binary operation. highlands ranch fitness schedule

"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. " - Ordered semihypergroups

Ordered semihypergroups

Some Aspects of Hyperatom Elements in Ordered Semihyperrings

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. 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 …

Did you know?

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 ... 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 …

WebMar 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 ). 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].

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 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 …

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 small marshmallow packetsWebMay 17, 2024 · The concept of almost interior -hyperideals (-hyperideals) in ordered -semihypergroups is a generalization of the concept of interior -hyperideals (-hyperideals). … highlands ranch colorado to littleton coWeb{"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 ... small marshmallow fondant recipeWebIn 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 … small mary and josephWebMar 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. … highlands ranch day careWebA 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. small mason jar candles bulkWebMar 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 … small maryland towns