Factorizations in Numerical Semigroup Algebras
arXiv:1808.10616
Abstract
We study a numerical semigroup ring as an algebra over another numerical semigroup ring. The complete intersection property of numerical semigroup algebras is investigated using factorizations of monomials into minimal ones. The goal is to study whether a flat rectangular algebra is a complete intersection. Along this direction, special types of algebras generated by few monomials are worked out in detail.
Accepted to appear in Journal of Pure and Applied Algebra