On Row-Factorization relations of certain numerical semigroups

preprint2022arXivOpen access

Abstract

Let HH 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.H. Further, when HH 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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