Ordered semihypergroups

Author: jhoo

August undefined, 2024

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

Ordered Semigroup - an overview ScienceDirect Topics

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 aspera unj9238gk

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

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 … 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 … 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. aspera update

ON HYPERIDEALS OF ORDERED SEMIHYPERGROUPS

Ordered regular equivalence relations on ordered semihypergroups …

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. … 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. asperabelWebIn 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. aspera zertifikate

"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]. " - Ordered semihypergroups

Ordered semihypergroups

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 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

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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 }) = ∅. 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 …

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 2, 2016 · No minimum order Description Semihypergroup Theory is the first book devoted to the semihypergroup theory and it includes basic results concerning semigroup …

WebMay 17, 2024 · The concept of almost interior -hyperideals (-hyperideals) in ordered -semihypergroups is a generalization of the concept of interior -hyperideals (-hyperideals). … 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.

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 …

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. aspera youtubeWebThere 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 ... aspera_web_key.pemWebIn 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 … aspera wikipediaWeb{"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 ... asperansa morbihanWebThis chapter deals with the concept of ordered semihypergroups. An ordered semihypergroup is a semihypergroup together with a partial order relation such that the … asperadiWebNov 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. asperansaWebFeb 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. asperanw