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Orders in completely regular semigroups

Part of: Semigroups

Published online by Cambridge University Press:  26 February 2010

Mario Petrich
Mario Petrich
Affiliation:
Department of Algebra, University of Granada, 18071 Granada, Spain. Current address: Uz garmu, 21420 Bol, Brač, Croatia.
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Abstract

A subsemigroup S of a semigroup Q is an order in Q if, for every q ∈ Q, there exist a, b, c, d ∈ S such that q = a−1b = cd−1 where a and d are contained in (maximal) subgroups of Q and a−1 and d−1 are their inverses in these subgroups. A semigroup which is a union of its subgroups is completely regular.

MSC classification

Secondary: 20M17: Regular semigroups

Information

Type
Research Article
Information
Mathematika , Volume 48 , Issue 1-2 , December 2001 , pp. 213 - 230
Copyright
Copyright © University College London 2001

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