Results 11 to 20 of about 136 (128)
Characterizations of Ordered Semigroups by New Type of Interval Valued Fuzzy Quasi-Ideals
Journal of Applied Mathematics, 2014 The concept of non-k-quasi-coincidence of an interval valued ordered fuzzy point with an interval valued fuzzy set is considered. In fact, this concept is a generalized concept of the non-k-quasi-coincidence of a fuzzy point with a fuzzy set.
Jian Tang, Xiangyun Xie, Yanfeng Luo
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Ordered Regular Semigroups with Biggest Associates
Discussiones Mathematicae - General Algebra and Applications, 2019 We investigate the class BA of ordered regular semigroups in which each element has a biggest associate x† = max {y | xyx = x}. This class properly contains the class PO of principally ordered regular semigroups (in which there exists x⋆ = max {y | xyx ...
Blyth T.S., Santos M.H. Almeida
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Some propertes of completely π-regular semigroups(完全π-正则半群的若干性质)
Zhejiang Daxue xuebao. Lixue ban, 2003 在完全π-正则半群上引入a*及a-,讨论完全π-正则半群的性质,给出半群S的任一真左理想为完全π-正则半群(GV-半群)的一些充要条件,并对完全阿基米德半群进行等价刻画.
HANGuang-guo(韩广国) +1 more
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Canonical Varieties of Completely Regular Semigroups [PDF]
Journal of the Australian Mathematical Society, 2007 AbstractCompletely regular semigroups CR are regarded here as algebras with multiplication and the unary operation of inversion. Their lattice of varieties is denoted by L(CR). Let B denote the variety of bands and L(B) the lattice of its subvarieties. The mapping V → V ∩ B is a complete homomorphism of L(CR) onto L(B). The congruence induced by it has
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A further study on ordered regular equivalence relations in ordered semihypergroups
Open Mathematics, 2018 In this paper, we study the ordered regular equivalence relations on ordered semihypergroups in detail. To begin with, we introduce the concept of weak pseudoorders on an ordered semihypergroup, and investigate several related properties.
Tang Jian +3 more
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A structure theorem for completely regular semigroups [PDF]
Proceedings of the American Mathematical Society, 1987 Structure theorems for arbitrary completely regular semigroups have been given by Yamada, Warne, Petrich, and Clifford. A new structure theorem for these semigroups is proved here. It is reminiscent of both the structure theorem of Clifford-Petrich and of the Rees construction for completely simple semigroups. It simplicity ought to prove useful in the
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On varieties of completely regular semigroups III
Semigroup Forum, 1985 Completely regular semigroups are semigroups that are unions of their subgroups. They may be regarded as universal algebras with an associative binary multiplication and unary inversion. In this language they form a variety \({\mathcal C}{\mathcal R}\).
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A semilattice of varieties of completely regular semigroups [PDF]
Mathematica Bohemica, 2018 A semigroup is completely regular if every element lies in a subgroup. Taking the inverse of each element in a subgroup containing it, completely regular semigroups form a variety of unary semigroups. The paper concerns identifying which subvarieties can be found by starting from two special sets of subvarieties that deserve particular attention.
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A Linear Generalization of the Nearly Gorenstein Property, With Applications to Veronese Subalgebras
Mathematische Nachrichten, EarlyView.ABSTRACT We study the nearly Gorenstein property for Veronese subalgebras of (semi‐)standard graded algebras. We introduce a condition (♮)$(\natural)$ for Cohen–Macaulay semi‐standard graded rings, motivated by the study of Ehrhart rings. We show that if a semi‐standard graded algebra R$ R$ satisfies (♮)$(\natural)$, then its Veronese subalgebras R(k)$
Sora Miyashita
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Congruences on regular and completely regular semigroups [PDF]
Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 1982 AbstractCongruences on regular semigroups have been characterized in terms of normal equivalences on sets of idempotents and kernels of congruences. A revised characterization is presented here with considerably simplified expressions for the least and greatest congruences associated with normal equivalences and with a new description of kernels.
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