Binomial edge rings associated to skew Ferrers diagrams
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915467776491520 |
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| author | Lin, Kuei-Nuan Shen, Yi-Huang |
| author_facet | Lin, Kuei-Nuan Shen, Yi-Huang |
| contents | In this study, we investigate the binomial edge ring associated with the skew Ferrers diagram. By employing Sagbi basis theory, we construct a quadratic Gröbner basis for its defining ideal. As an application, we prove that this ring is a Koszul, Cohen-Macaulay, normal domain. Moreover, we precisely determine its Krull dimension. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_20364 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Binomial edge rings associated to skew Ferrers diagrams Lin, Kuei-Nuan Shen, Yi-Huang Commutative Algebra Combinatorics Primary 13F65, 05E40, Secondary 14M25 In this study, we investigate the binomial edge ring associated with the skew Ferrers diagram. By employing Sagbi basis theory, we construct a quadratic Gröbner basis for its defining ideal. As an application, we prove that this ring is a Koszul, Cohen-Macaulay, normal domain. Moreover, we precisely determine its Krull dimension. |
| title | Binomial edge rings associated to skew Ferrers diagrams |
| topic | Commutative Algebra Combinatorics Primary 13F65, 05E40, Secondary 14M25 |
| url | https://arxiv.org/abs/2508.20364 |