Results 111 to 120 of about 14,642 (224)
Amenably ordered inverse semigroups
Journal of Algebra, 1980 A partially ordered inverse semigroup S is said to be left amenably ordered if for each a, b ~ S, a < b implies ala ~ b-lb. Any inverse semigroup is amenably ordered, on both sides, under the natural partial order < defined by a ~< b if and only if a = eb for some idempotent e in S.
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On the ideal extensions in ordered semigroups
Semigroup Forum, 1996 The concepts of \(n\)-prime ideal and extension of an ideal in semilattices (introduced by K. P. Shum) are investigated in p.o. commutative semigroups \((S, \cdot, \leq)\). For any ideal \(I\) of \(S\) (i.e., semigroup- and order-ideal) and \(a \in S\), the set \(a : I = \{x \in S \mid ax \in I\}\) is called the ``extension of \(I\) by \(a\)''.
Xie, Xiang-Yun, Wu, Ming-Fen
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On lattice ordered periodic semigroups [PDF]
Czechoslovak Mathematical Journal, 1993 The purpose of this note is to give some algebraic properties of lattice- ordered periodic semigroups and particularly in the finite case. The main results. Classes of the following equivalence relation \(\mathcal F\) are called spindles and will be denoted \(F_ e\), where \(e\) is the idempotent of this class: \(a\equiv b{\mathcal F}\Leftrightarrow e ...
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(λ,μ)-Fuzzy Version of Ideals, Interior Ideals, Quasi-Ideals, and Bi-Ideals
Journal of Applied Mathematics, 2012 We introduced (λ,μ)-fuzzy ideals, (λ,μ)-fuzzy interior ideals, (λ,μ)-fuzzy quasi-ideals, and (λ,μ)-fuzzy bi-ideals of an ordered semigroup and studied them. When λ=0 and μ=1, we meet the ordinary fuzzy ones.
Yuming Feng, P. Corsini
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PARTIALLY ORDERED ABELIAN SEMIGROUPS. IV ON THE EXTENTION OF THE CERTAIN NORMAL PARTIAL ORDER DEFINED ON ABELIAN SEMIGROUPS [PDF]
, 1961 Osamu Nakada
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Fuzzy bipolar soft semiprime ideals in ordered semigroups. [PDF]
Heliyon, 2021 Aziz-Ul-Hakim, Khan H, Ahmad I, Khan A.
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Brauer and partition diagram models for phylogenetic trees and forests. [PDF]
Proc Math Phys Eng Sci, 2022 Francis A, Jarvis PD.
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