On Row-Factorization relations of certain numerical semigroups

Om Prakash Bhardwaj; Kriti Goel; Indranath Sengupta

paper

On Row-Factorization relations of certain numerical semigroups

arXiv:2105.00383

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.

A revised version, 24 pages. To appear in IJAC