Journal of the Australian Mathematical Society

Research Article

Products of idempotents in algebraic monoids

Mohan S. Putchaa1

a1 Department of Mathematics, Box 8205 North Carolina State University, Raleigh, NC 27695–8205, USA, e-mail: putcha@math.ncsu.edu

Abstract

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.

(Received August 19 2002)

(Revised January 12 2005)

2000 Mathematics subject classification

  • primary 20M99;
  • secondary 20G99