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Direct finiteness of certain monoid algebras

Published online by Cambridge University Press:  20 January 2009

W. D. Munn
W. D. Munn
Affiliation:
Department of MathematicsUniversity of GlasgowGlasgow G12 8QW, Scotland
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Abstract

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A semigroup is said to be completely regular if and only if each of its elements lies in a subgroup. It is shown that the algebra of a completely regular monoid (semigroup with identity) over a field of characteristic zero is directly finite.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 39 , Issue 2 , June 1996 , pp. 365 - 369
Copyright
Copyright © Edinburgh Mathematical Society 1996

References

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