Row-Factorization Matrices in Arf Numerical Semigroups and Defining Ideals
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arXiv
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| Format: | Preprint |
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2022
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| _version_ | 1866916681618554880 |
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| author | Süer, Meral Yeşil, Mehmet |
| author_facet | Süer, Meral Yeşil, Mehmet |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2210_14856 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Row-Factorization Matrices in Arf Numerical Semigroups and Defining Ideals Süer, Meral Yeşil, Mehmet Commutative Algebra Combinatorics Group Theory 20M14, 20M20, 20M25, 13H10 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. |
| title | Row-Factorization Matrices in Arf Numerical Semigroups and Defining Ideals |
| topic | Commutative Algebra Combinatorics Group Theory 20M14, 20M20, 20M25, 13H10 |
| url | https://arxiv.org/abs/2210.14856 |