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- W2004457913 abstract "Let $M$ be a connected regular linear algebraic monoid with zero and group of units $G$. Suppose $G$ is nearly simple, i.e. the center of $G$ is one dimensional and the derived group $Gâ$ is a simple algebraic group. Then it is shown that $S = Mbackslash G$ is an idempotent generated semigroup. If $M$ has a unique nonzero minimal ideal, the converse is also proved. It follows that if ${G_0}$ is any simple algebraic group defined over an algebraically closed field $K$ and if $Phi :{G_0} to GL(n,K)$ is any representation of ${G_0}$, then the nonunits of the monoid $M(Phi ) = overline {KPhi ({G_0})}$ form an idempotent generated semigroup." @default.
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- W2004457913 date "1988-01-01" @default.
- W2004457913 modified "2023-09-26" @default.
- W2004457913 title "Algebraic monoids whose nonunits are products of idempotents" @default.
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- W2004457913 doi "https://doi.org/10.1090/s0002-9939-1988-0938640-8" @default.
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