2018/08/31 by I-Chiau Huang, Huang, I-Chiau, Raheleh Jafari +1
Computer Science · Mathematics · #13H10 #14H20 #20M25 #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation #Rings, Modules, and Algebras
paper · pdf · doi:10.48550/arxiv.1808.10616
openalex publication_date 2018/08/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.