Log-regularity of monoid algebras
Commutative Algebra
2025-09-03 v1 Algebraic Geometry
Number Theory
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.
Cite
@article{arxiv.2509.01191,
title = {Log-regularity of monoid algebras},
author = {Shinnosuke Ishiro},
journal= {arXiv preprint arXiv:2509.01191},
year = {2025}
}
Comments
5 pages