{"title":"Unmixed polymatroidal ideals","authors":"Mozghan Koolani, Amir Mafi, Hero Saremi","doi":"arxiv-2407.20527","DOIUrl":null,"url":null,"abstract":"Let $R=K[x_1,\\ldots,x_n]$ denote the polynomial ring in $n$ variables over a\nfield $K$ and $I$ be a polymatroidal ideal of $R$. In this paper, we provide a\ncomprehensive classification of all unmixed polymatroidal ideals. This work\naddresses a question raised by Herzog and Hibi in [10]","PeriodicalId":501475,"journal":{"name":"arXiv - MATH - Commutative Algebra","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2024-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Commutative Algebra","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2407.20527","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
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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