Results 41 to 50 of about 115 (80)
Ordered regular equivalence relations on ordered semihypergroups
Journal of Algebra, 2016 This is from the last section of the paper: ``Conclusions and future work: In this paper, we introduce the concepts of ordered regular (strongly ordered regular) equivalence relations on ordered semihypergroups, and construct an ordered semilattice equivalence relation \(\mathcal{N}\) by hyperfilters and an ordered regular equivalence relation \(\rho_I\
Ze Gu, Xilin Tang
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A study on (strong) order-congruences in ordered semihypergroups
TURKISH JOURNAL OF MATHEMATICS, 2018 Summary: In this paper, we introduce the concepts of order-congruences and strong order-congruences on an ordered semihypergroup \(S,\) and obtain the relationship between strong order-congruences and pseudoorders on \(S\). Furthermore, we characterize the (strong) order-congruences by the \(\rho\)-chains, where \(\rho\) is a (strong) congruence on \(S\
Tang, Jian, Luo, Yanfeng, Xie, Xiangyun
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Some Algebraic Classification of Semiregular Hypermodules in Connection to the Radical
Journal of Mathematics, Volume 2024, Issue 1, 2024.We call a Krasner right S‐hypermodule A regular if each cyclic subhypermodule of A is a direct summand of A, and we also call A semiregular if every finitely generated subhypermodule of A lies above a direct summand of A. In this study, some properties of such hypermodules are achieved.
Yıldız Aydın +2 more
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Rough Hyperfilters in Po-LA-Semihypergroups
Discrete Dynamics in Nature and Society, 2019 This paper concerns the study of hyperfilters of ordered LA-semihypergroups, and presents some examples in this respect. Furthermore, we study the combination of rough set theory and hyperfilters of an ordered LA-semihypergroup.
Ferdaous Bouaziz, Naveed Yaqoob
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Int-Soft Interior Hyperideals of Ordered Semihypergroups
International Journal of Analysis and Applications, 2017 The main theme of this paper is to study ordered semihypergroups in the context of int-soft interior hyperideals. In this paper, the notion of int-soft interior hyperideals are studied and their related properties are discussed.
Asghar Khan +2 more
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On the paper “Regular equivalence relations on ordered ∗-semihypergroups”
TURKISH JOURNAL OF MATHEMATICS, 2021 Summary: If \((S, \circ, \leq)\) is an ordered hypersemigroup, an equivalence relation \(\rho\) on \(S\) is called congruence if \((a, b)\in\rho\) implies \((a\circ x, b\circ x)\in\rho\) and \((x\circ a, x\circ b)\in\rho\) for every \(x\in S\); in the sense that for every \(u\in a\circ x\) there exists \(v\in b\circ x\) such that \((u, v)\in\rho\) and ...
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On weakly semiprime segments of ordered semihypergroups
AIMS Mathematics, 2021 In this paper, we introduce the concept of weakly semiprime segments in an ordered semihypergroup and classify weakly semiprime segments of an ordered semihypergroup into four cases which are simple, exceptional, Archimedean and decomposable.
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On (∈,∈∨qk)-Fuzzy Hyperideals in Ordered LA-Semihypergroups
Discrete Dynamics in Nature and Society, 2018 The concept of (∈,∈∨qk)-fuzzy hyperideal of an ordered LA-semihypergroup is introduced by the ordered fuzzy points, and related properties are investigated.
Muhammad Azhar +3 more
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(M,N)-Int-Soft Generalized Bi-Hyperideals of Ordered Semihypergroups
Journal of New Theory, 2018 Molodtsov introduced the concept of soft set as a new mathematical tool fordealing with uncertainties that is free from the difficulties that have troubled the usual theoreticalapproaches.
Muhammad Farooq +3 more
doaj
Characterizations of semisimple ordered semihypergroups in terms of fuzzy hyperideals
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology, 2015 In 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 ...
Jian Tang 0002, Asghar Khan, Yanfeng Luo
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