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Sn-normal semigroups

Published online by Cambridge University Press:  20 January 2009

I. Levi  and
R. B. McFadden
I. Levi
Affiliation:
Mathematics Department, University of Louisville, Louisville, KY 40292, USA
R. B. McFadden
Affiliation:
Mathematics Department, University of Louisville, Louisville, KY 40292, USA
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Abstract

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Certain subsemigroups of the full transformation semigroup Tn on a finite set of cardinality n are investigated, namely those subsemigroups S of Tn, which are normalised by the symmetric group on n elements, the group of units of Tn. The Sn-normal closure of an element of Tn is determined, and the structure of the Sn-normal ideals consisting of the members of Tn whose image contains at most r elements is studied.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 37 , Issue 3 , October 1994 , pp. 471 - 476
Copyright
Copyright © Edinburgh Mathematical Society 1994

References

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