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Subdirectly irreducible Rees matrix semigroups

Published online by Cambridge University Press:  17 April 2009

David E. Zitarelli
David E. Zitarelli
Affiliation:
Department of Mathematics, Temple University, Philadelphia, Pennsylvania, USA.
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Abstract

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Minimal congruences on a Rees matrix semigroup S having at least one proper congruence are described. Necessary and sufficient conditions for S to te subdirectly irreducible are given in two cases according to whether the structure group of S is trivial.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 16 , Issue 3 , June 1977 , pp. 351 - 359
Copyright
Copyright © Australian Mathematical Society 1977

References

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