Log-regularity of monoid algebras
classification
🧮 math.AC
math.AGmath.NT
keywords
ringsalgebraslocallog-regularmonoidbasecohen-macaulaycorollary
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Local log-regular rings are Cohen-Macaulay local domains introduced by Kazuya Kato to expand the theory of toric varieties without a base. In this note, we show that local rings of monoid algebras over regular rings are log-regular. As a corollary, we show that monoid algebras are log-regular rings.
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