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Direct finiteness of certain monoid algebras II

Published online by Cambridge University Press:  20 January 2009

W. D. Munn
W. D. Munn
Affiliation:
Department of Mathematics University of Glasgow Glasgow G12 8QW, Scotland
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Abstract

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Let S be a nontrivial monoid with zero and let F be a field. A sufficient condition, on the 0-simple principal factors of S and the characteristic of F, is given for the contracted monoid algebra of S over F to be directly finite.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 39 , Issue 2 , June 1996 , pp. 371 - 376
Copyright
Copyright © Edinburgh Mathematical Society 1996

References

REFERENCES

1. Clifford, A. H. and Preston, G. B. The algebraic theory of semigroups, vol. 1 (Math. Surveys 7, Amer. Math. Soc., Providence R.I., 1961).Google Scholar
2. Kaplansky, I., Fields and rings (Chicago Lectures in Math., Univ. of Chicago, 1969).Google Scholar
3. Montgomery, M. S., Left and right inverses in group algebras, Bull. Amer. Math. Soc. 75 (1969), 539–540.CrossRefGoogle Scholar
4. Munn, W. D., Direct finiteness of certain monoid algebras, Proc. Edinburgh Math. Soc. 39 (1996), 365–369.CrossRefGoogle Scholar
5. Passman, D. S. The algebraic theory of group rings (Wiley-Interscience, New York, 1977).Google Scholar
6. Reilly, N. R., Free generators in free inverse semigroups, Bull. Austral. Math. Soc. 7 (1972), 407–424.CrossRefGoogle Scholar