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Rees matrix semigroups

Published online by Cambridge University Press:  20 January 2009

Mark V. Lawson
Mark V. Lawson
Affiliation:
Fachbereich Mathematik AG5, Technische Hochschule, D-6100, Darmstadt, Schlossgartenstr 7, West Germany
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Abstract

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In this paper we provide a new, abstract characterisation of classical Rees matrix semigroups over monoids with zero. The corresponding abstract class of semigroups is obtained by abstracting a number of algebraic properties from completely 0-simple semigroups: in particular, the relationship between arbitrary elements and idempotents.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 33 , Issue 1 , February 1990 , pp. 23 - 37
Copyright
Copyright © Edinburgh Mathematical Society 1990

References

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