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Factorizations in numerical semigroup algebras

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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… Click to show full abstract

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.

Keywords: semigroup; semigroup algebras; numerical semigroup; factorizations numerical

Journal Title: Journal of Pure and Applied Algebra
Year Published: 2019

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