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Products of idempotents in algebraic monoids

Part of: Linear algebraic groups and related topics Semigroups

Published online by Cambridge University Press:  09 April 2009

Mohan S. Putcha
Mohan S. Putcha
Affiliation:
Department of Mathematics, Box 8205North Carolina State University, Raleigh, NC 27695–8205, USA, e-mail: [email protected]
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Abstract

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Let M be a reductive algebraic monoid with zero and unit group G. We obtain a description of the submonoid generated by the idempotents of M. In particular, we find necessary and sufficient conditions for M\G to be idempotent generated.

MSC classification

Secondary: 20M99: None of the above, but in this section 20G99: None of the above, but in this section
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 80 , Issue 2 , April 2006 , pp. 193 - 203
Copyright
Copyright © Australian Mathematical Society 2006

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