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On regular semigroup rings

Published online by Cambridge University Press:  14 November 2011

Jan Okniński
Jan Okniński
Affiliation:
Institute of Mathematics, University of Warsaw, 00-901 Warsaw, Poland
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Extract

It is shown that if A is an algebra over a field, then the regularity of the semigroup algebra A[G] implies that the semigroup G is periodic. This enables us to characterize regular semigroup algebras of semigroups with d.c.c. on principal ideals. Also, regular self-injective semigroup algebras are described.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 99 , Issue 1-2 , 1984 , pp. 145 - 151
Copyright
Copyright © Royal Society of Edinburgh 1984

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