Results 171 to 180 of about 14,100 (198)
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Normally Ordered Inverse Semigroups
Semigroup Forum, 1998Let \(S\) be an inverse semigroup and \(E\) the set of its idempotents. Suppose that there exists a partial order \(\ll\) on \(E\) such that two idempotents are \(\ll\)-comparable if and only if they belong to the same \(\mathcal J\)-class of \(S\) and, for all \(s\in S\) and \(e,f\in Ess^{-1}\), \(e\ll f\) implies \(s^{-1}es\ll s^{-1}fs\).
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On ordered $��$-semigroups ($��$-semigroups)
2014We add here some further characterizations to the characterizations of strongly regular ordered $ $-semigroups already considered in Hacettepe J. Math. 42 (2013), 559--567. Our results generalize the characterizations of strongly regular ordered semigroups given in the Theorem in Math. Japon.
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Bisimple Inverse Semigroups as Semigroups of Ordered Triples
Canadian Journal of Mathematics, 1968In (8) and (13) it has been shown that certain bisimple inverse semigroups, called bisimple ω-semigroups and bisimple Z-semigroups, can be represented as semigroups of ordered triples. In these cases, two of the components of each triple are integers, and the third is drawn from a fixed group.
Reilly, N. R., Clifford, A. H.
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On Negatively Ordered Implicative Semigroups
Semigroup Forum, 1998This paper is a continuation of a paper by \textit{M. W. Chan} and \textit{K. P. Shum} [Semigroup Forum 46, 7-15 (1993; Zbl 0776.06012)] on negatively ordered implicative semigroups. Here the emphasis is on the connection between implicative morphisms and semigroup morphisms.
Murty, P. V. Ramana, Shum, K. P.
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Semigroup Algebras and Maximal Orders
Canadian Mathematical Bulletin, 1999AbstractWe describe contracted semigroup algebras ofMalcev nilpotent semigroups that are prime Noetherian maximal orders.
Jespers, Eric, Okninski, J.
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Orders in completely regular semigroups
Mathematika, 2001A classic theorem of semigroup theory is that a semigroup \(S\) has a group of quotients if and only if it is reversible and cancellative. From the perspective of the group, it contains \(S\) as an ``order''. Generalizing from both this situation and from ring theory, a semigroup \(S\) is an order in another semigroup \(Q\) if every element in \(Q ...
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Characterizations of regular ordered semigroups in terms of (α,β)-fuzzy generalized bi-ideals
Information Sciences, 2011Asghar Khan
exaly