Coefficient Rings of Numerical Semigroup Algebras
Commutative Algebra
2021-07-21 v1
Abstract
Numerical semigroup rings are investigated from the relative viewpoint. It is known that algebraic properties such as singularities of a numerical semigroup ring are properties of a flat numerical semigroup algebra. In this paper, we show that arithmetic and set-theoretic properties of a numerical semigroup ring are properties of an equi-gcd numerical semigroup algebra.
Cite
@article{arxiv.2107.09658,
title = {Coefficient Rings of Numerical Semigroup Algebras},
author = {I-Chiau Huang and Raheleh Jafari},
journal= {arXiv preprint arXiv:2107.09658},
year = {2021}
}
Comments
15 pages, to appear in Semigroup Forum