Log-regularity of monoid algebras
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. As a corollary, we show that monoid algebras are log-regular rings.
Fields of Study & Subjects
Commutative Algebra and Its Applications
Polynomial and algebraic computation
Algebraic Geometry and Number Theory
Publication details
- Journal / source
- Communications in Algebra
- Pages
- 1–9
- Publication date
- 5 July 2026
- Language
- EN