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Trace functions on the algebras of certain E-unitary inverse semigroups

Published online by Cambridge University Press:  14 November 2011

M. J. Crabb  and
W. D. Munn
M. J. Crabb
Affiliation:
Department of Mathematics, University of Glasgow, Glasgow G12 8QW, Scotland, U.K
W. D. Munn
Affiliation:
Department of Mathematics, University of Glasgow, Glasgow G12 8QW, Scotland, U.K
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Extract

A construction is given for a trace function on the semigroup algebra of a certain type of E-unitary inverse semigroup over any subfield of the complex field that is closed under complex conjugation. In particular, the method applies to the semigroup algebras of free inverse semigroups of arbitrary rank.

Information

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 125 , Issue 5 , 1995 , pp. 1077 - 1084
Copyright
Copyright © Royal Society of Edinburgh 1995

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References

1Clifford, A. H. and Preston, G. B.. The Algebraic Theory of Semigroups, Mathematical Surveys 7 (Providence, RI: American Mathematical Society, 1961 (vol. 1) and 1967 (vol. 2)).Google Scholar
2Easdown, D. and Munn, W. D.. Trace functions on inverse semigroup algebras. Bull. Austral. Math. Soc. (to appear).Google Scholar
3Howie, J. M.. An Introduction to Semigroup Theory (London: Academic Press, 1976).Google Scholar
4McAlister, D. B.. Groups, semilattices and inverse semigroups. Trans. Amer. Math. Soc. 192 (1974), 227–44.Google Scholar
5McAlister, D. B.. Groups, semilattices and inverse semigroups II. Trans. Amer. Math. Soc. 196 (1974), 351–70.CrossRefGoogle Scholar
6Munn, W. D.. Free inverse semigroups. Proc. London Math. Soc. (3) 29 (1974), 385–404.CrossRefGoogle Scholar
7Oknihski, J.. Semigroup Algebras (New York: Marcel Dekker, 1991).Google Scholar
8Preston, G. B.. Free inverse semigroups. J. Austral. Math. Soc. 16 (1973), 443–53.CrossRefGoogle Scholar
9Reilly, N. R.. Free generators in free inverse semigroups. Bull. Austral. Math. Soc. 7 (1972), 407–24.CrossRefGoogle Scholar
10Rukolaine, A. V.. The centre of the semigroup algebra of a finite inverse semigroup over the field of complex numbers. Zap. Naucn. Sem. LOMI Steklov 75 (1978), 154–8.Google Scholar
11Rukolaine, A. V.. Semigroup algebras of finite inverse semigroups over arbitrary fields. Zap. Naučn. Sem. LOMI Steklov 103 (1980), 117–23.Google Scholar
12Scheiblich, H. E.. Free inverse semigroups. Proc. Amer. Math. Soc. 38 (1973), 1–7.CrossRefGoogle Scholar