Row-Factorization Matrices in Arf Numerical Semigroups and Defining Ideals

Published 26 Oct 2022 in math.AC, math.CO, and math.GR | (2210.14856v3)

Abstract: In this paper, we investigate the row-factorization matrices of Arf numerical semigroups, and we provide the full list of such matrices of certain Arf numerical semigroups. We use the information of row-factorization matrices to detect the generic nature and to find generators of the defining ideals.

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