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This is a Experimental Study study.

September 24, 2025Open Access

Binomial edge rings associated to skew Ferrers diagrams

Key Points

The construction of a quadratic Gröbner basis facilitates understanding of the binomial edge ring.
The study demonstrates that the ring is not only Koszul but also Cohen-Macaulay, which are important algebraic properties.
We precisely determine the Krull dimension of the binomial edge ring, adding depth to its algebraic profile.
Employing Sagbi basis theory provides a robust method to delve into the properties of skew Ferrers diagrams.

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 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.

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Lin et al. (Thu,) studied this question.

synapsesocial.com/papers/68d6e0fc8b2b6861e4c3f2cb https://doi.org/https://doi.org/10.48550/arxiv.2508.20364

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