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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 
 

 

Cohen-Macaulay algebraic monoids


Author: Lex E. Renner
Journal: Proc. Amer. Math. Soc. 89 (1983), 574-578
MSC: Primary 20M99; Secondary 14M05
DOI: https://doi.org/10.1090/S0002-9939-1983-0718975-X
MathSciNet review: 718975
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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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Keywords: Algebraic monoid, Cohen-Macaulay, <IMG WIDTH="23" HEIGHT="18" ALIGN="BOTTOM" BORDER="0" SRC="images/img1.gif" ALT="$D$">-group
Article copyright: © Copyright 1983 American Mathematical Society