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On Row-Factorization relations of certain numerical semigroups

Commutative Algebra 2022-08-25 v3

Abstract

Let HH be a numerical semigroup minimally generated by an almost arithmetic sequence. We give a description of a possible row-factorization (\RF)(\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\RF-relations.

Keywords

Cite

@article{arxiv.2105.00383,
  title  = {On Row-Factorization relations of certain numerical semigroups},
  author = {Om Prakash Bhardwaj and Kriti Goel and Indranath Sengupta},
  journal= {arXiv preprint arXiv:2105.00383},
  year   = {2022}
}

Comments

A revised version, 24 pages. To appear in IJAC

R2 v1 2026-06-24T01:42:20.736Z