Coefficient Rings of Numerical Semigroup Algebras
arXiv:2107.09658
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.
15 pages, to appear in Semigroup Forum