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Log-regularity of monoid algebras

Published 1 Sep 2025 in math.AC, math.AG, and math.NT | (2509.01191v1)

Abstract: 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.

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