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Radicals of semigroup rings†

Published online by Cambridge University Press:  18 May 2009

Julian Weissglass
Julian Weissglass
Affiliation:
University of Wisconsin and University of California, Santa Barbara
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Let denote the contracted semigroup ring of the ompletely 0-simple semigroup D over the ring R. The Rees structure theory of completely 0-simple semigroups is used to obtain necessary and sufficient conditions that have zero radical (Theorem 3.8). By using Amitsur's construction of the upper π-radical [1], we are able to treat the Jacobson, Baer (prime), Levitzki (locally nilpotent) and possibly the nil radicals simultaneously. Our results generalize a theorem of Munn [6] on semigroup algebras of finite 0-simple semigroups.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 10 , Issue 2 , July 1969 , pp. 85 - 93
Copyright
Copyright © Glasgow Mathematical Journal Trust 1969

References

REFERENCES

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