Binomial edge rings associated to skew Ferrers diagrams

Kuei-Nuan Lin; Yi-Huang Shen

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arXiv · 2508.20364

Binomial edge rings associated to skew Ferrers diagrams

Kuei-Nuan Lin·Yi-Huang Shen

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Abstract

In this study, we investigate the binomial edge ring associated with the skew Ferrers diagram. By employing Sagbi basis theory, we construct a quadratic Gr\"{o}bner 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.

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Kuei-Nuan Lin, Yi-Huang Shen. 2025-08-28. Binomial edge rings associated to skew Ferrers diagrams. https://arxiv.org/abs/2508.20364

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