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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Acknowledgements
We thank Naoki Endo and Om Prakash Bhardwaj for reading the first drafts and their valuable comments. We also thank the anonymous reviewers for their careful reading and their many insightful comments and suggestions.
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Communicated by Mahir Bilen Can.
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Süer, M., Yeşil, M. Row-factorization matrices in Arf numerical semigroups and defining ideals. Semigroup Forum (2024). https://doi.org/10.1007/s00233-024-10416-y
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DOI: https://doi.org/10.1007/s00233-024-10416-y