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Unmixed polymatroidal ideals

Published 30 Jul 2024 in math.AC and math.CO | (2407.20527v3)

Abstract: Let $R=K[x_1,\ldots,x_n]$ denote the polynomial ring in $n$ variables over a field $K$ and $I$ be a polymatroidal ideal of $R$. In this paper, we provide a comprehensive classification of all unmixed polymatroidal ideals. This work addresses a question raised by Herzog and Hibi in [10]

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