Ordered 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 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
Ordered semihypergroups
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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 ). 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 ...
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. … 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.
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 … 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 …
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.
WebNov 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. chityala ailamma in teluguWebAug 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 … grasshopper how to transfer a callWebMar 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 … grasshopper how to transferWebThis chapter deals with the concept of ordered semihypergroups. An ordered semihypergroup is a semihypergroup together with a partial order relation such that the … grasshopper how to drawWebApr 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. grasshopper how many legsWebJun 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 … grasshopper how to disconnectWebIn 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. grasshopper how long do they live