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Products of nilpotent linear transformations
Published online by Cambridge University Press: 14 November 2011
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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