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.
Publisher
Cambridge University Press (CUP)
Cited by
3 articles.
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1. Sums of commuting square-zero transformations;Linear Algebra and its Applications;2009-10
2. Products of nilpotent matrices;Linear and Multilinear Algebra;2008-05
3. Products of square-zero operators;Journal of Mathematical Analysis and Applications;2008-03