Row-Factorization Matrices in Arf Numerical Semigroups and Defining Ideals

Meral Süer; Mehmet Yeşil

doi:10.1007/s00233-024-10416-y

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arXiv · 2210.14856

Row-Factorization Matrices in Arf Numerical Semigroups and Defining Ideals

Meral Süer·Mehmet Yeşil

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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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Meral Süer, Mehmet Yeşil. 2022-10-26. Row-Factorization Matrices in Arf Numerical Semigroups and Defining Ideals. https://doi.org/10.1007/s00233-024-10416-y

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