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Binomial edge rings associated to skew Ferrers diagrams

Published 28 Aug 2025 in math.AC and math.CO | (2508.20364v1)

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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