非混合多媒质理想

arXiv - MATH - Commutative Algebra Pub Date : 2024-07-30 DOI:arxiv-2407.20527

Mozghan Koolani, Amir Mafi, Hero Saremi

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引用次数: 0

摘要

让 $R=K[x_1,\ldots,x_n]$ 表示在 $K$ 上的 $n$ 变量的多项式环，而 $I$ 是 $R$ 的一个多元组理想。在本文中，我们对所有非混合多母题理想进行了全面分类。这项工作解决了赫尔佐格和日比在[10]中提出的一个问题

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Unmixed polymatroidal ideals

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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arXiv - MATH - Commutative Algebra

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