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 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

Study on Green’s relations in ordered semihypergroups

WebSemigroup definition, an algebraic system closed under an associative binary operation. See more. 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 … how do you say michelle in french

Semigroup Definition & Meaning - Merriam-Webster

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 ... 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. 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. … phone number williamson med ctr