J. Aust. Math. Soc.  80 (2006), 193-203
Products of idempotents in algebraic monoids

Mohan S. Putcha
  Department of Mathematics
  Box 8205
  North Carolina State University
  Raleigh, NC 27695-8205
  USA
  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 $M \backslash G$ to be idempotent generated.
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