Cohen-Macaulay algebraic monoids

Renner, Lex E.

doi:10.1090/S0002-9939-1983-0718975-X

Cohen-Macaulay algebraic monoids
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by Lex E. Renner

Proc. Amer. Math. Soc. 89 (1983), 574-578

DOI: https://doi.org/10.1090/S0002-9939-1983-0718975-X

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Abstract:

Let $E$ be an irreducible, normal, algebraic monoid with group of units $G = {\text {G}}{{\text {l}}_2}(K)$, ${\text {S}}{{\text {l}}_2}(K) \times {K^*}$ or ${\text {PG}}{{\text {l}}_2}(K) \times {K^*}$. Then $E$ is a Cohen-Macaulay algebraic variety.

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