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The regular radical of semigroup rings of commutative semigroups

Published online by Cambridge University Press:  18 May 2009

A. V. Kelarev
A. V. Kelarev
Affiliation:
Department of Mathematics and Mechanics, Ural State University, Lenina 51, Ekatherimburg 620083, Russia
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A description of regular group rings is well known (see [12]). Various authors have considered regular semigroup rings (see [17], [8], [10], [11], [4]). These rings have been characterized for many important classes of semigroups, although the general problem turns out to be rather difficult and still has not got a complete solution. It seems natural to describe the regular radical in semigroup rings for semigroups of the classes mentioned. In [10], the regular semigroup rings of commutative semigroups were described. The aim of the present paper is to characterize the regular radical ρ(R[S]) for each associative ring R and commutative semigroup S.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 34 , Issue 2 , May 1992 , pp. 133 - 141
Copyright
Copyright © Glasgow Mathematical Journal Trust 1992

References

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