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Products of nilpotent linear transformations

Published online by Cambridge University Press:  14 November 2011

R. P. Sullivan
R. P. Sullivan
Affiliation:
Department of Mathematics, University of Western Australia, Nedlands, WA 6009, Australia
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Abstract

In this paper we characterise the linear transformations of an infinite-dimensional vector space that can be written as the product of nilpotent transformations. This and a linear version of Malcev's congruence on transformation semigroups are then used to construct a new class of congruence-free semigroups.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 124 , Issue 6 , 1994 , pp. 1135 - 1150
Copyright
Copyright © Royal Society of Edinburgh 1994

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