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Orders in normal bands of groups

Part of: Semigroups

Published online by Cambridge University Press:  26 February 2010

John Fountain  and
Mario Petrich
John Fountain
Affiliation:
Department of Mathematics, University of York, Heslington. York YOI 5DD
Mario Petrich
Affiliation:
Departamento de Matemática, Faculdade de Ciências, Universidade do Porto, 4000 Porto, Portugal.
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Extract

In [3] the authors introduced the notion of a completely 0-simple semigroup of quotients. This definition has since been extended to the class of all semigroups giving a definition of semigroups of quotients which may be regarded as an analogue of the classical ring of quotients. When Q is a semigroup of quotients of a semigroup S, we also say that S is an order in Q.

MSC classification

Secondary: 20M07: Varieties and pseudovarieties of semigroups
Type
Research Article
Information
Mathematika , Volume 43 , Issue 2 , December 1996 , pp. 295 - 319
Copyright
Copyright © University College London 1996

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