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On product varieties of inverse semigroups

Published online by Cambridge University Press:  09 April 2009

J. L. Bales
J. L. Bales
Affiliation:
Department of Mathematics Monash UniversityClayton, Victoria 3168, Australia
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Abstract

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This paper extends results on product varieties of groups to inverse semigroups. We show that if is a variety of groups and any inverse semigroup variety, then ∘ is a variety. We give a characterization of the identities of∘in terms of the identities of and ofWe show that if does not contain the variety of all groups then it has uncountably many supervarieties. Finally we show that ifis another variety of groups then

Subject classifiaction (Amer. Math. Soc. (MOS) 1970): 20 M 05.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 28 , Issue 1 , August 1979 , pp. 107 - 119
Copyright
Copyright © Australian Mathematical Society 1979

References

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