On Row-Factorization relations of certain numerical semigroups

2021/05/02 by Om Prakash Bhardwaj, Bhardwaj, Om Prakash, Kriti Goel +3
Mathematics · #13A02 #20M14 #20M25 #Advanced Topics in Algebra #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.2105.00383

openalex publication_date 2021/05/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let H be a numerical semigroup minimally generated by an almost arithmetic sequence. We give a description of a possible row-factorization (\RF) matrix for each pseudo-Frobenius element of H. Further, when H is symmetric and has embedding dimension 4 or 5, we prove that the defining ideal is minimally generated by \RF-relations.

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