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]. 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.
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Websemigroup: [noun] a mathematical set that is closed under an associative binary operation. WebA. 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.
WebBy 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 … 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 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. 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.
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 …
WebWe 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 … csn5 infnWebAug 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 … csn 5514wWebMar 15, 2016 · In this paper, we introduce the concepts of ordered regular (strongly ordered regular) equivalence relations on ordered semihypergroups, and construct an ordered … eagle super lite by jaycoWebIn 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 … csn5 inhibitorWebAn 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 }) = ∅. eagle supps tasty oat bar haferriegelOrdered 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 csn 50th anniversaryWebMar 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. … csn5 antibody