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arXiv · 1808.10616

Factorizations in Numerical Semigroup Algebras

I-Chiau Huang·Raheleh Jafari
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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.

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I-Chiau Huang, Raheleh Jafari. 2018-08-31. Factorizations in Numerical Semigroup Algebras. https://arxiv.org/abs/1808.10616

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