Abstract
AbstractThe class of abundant semigroups originally arose from ‘homological’ considerations in the theory of S-systems: they are the semigroup theoretic counterparts of PP-rings. Cancellative monoids, full subsemigroups of regular semigroups as well as the multiplicative semigroups of PP-rings are abundant. In this paper we investigate the properties of Rees matrix semigroups over abundant semigroups. Some of our results generalise McAlister's work on regular Rees matrix semigroups.
Publisher
Cambridge University Press (CUP)
Subject
General Mathematics,Statistics and Probability
Reference12 articles.
1. [11] Meakin J. , ‘The Rees construction in regular semigroups’, preprint.
2. [7] Lawson M. V. , ‘The structure of type A semigroups’, Quart. J. Math., to appear.
3. Regular Rees matrix semigroups and regular Dubreil-Jacotin semigroups
4. On regular semigroups
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