{"title":"Powers of Monomial Ideals and Combinatorics","authors":"L. T. Hoa","doi":"10.1142/9789811215476_0012","DOIUrl":null,"url":null,"abstract":"This is an exposition of some new results on associated primes and the depth of different kinds of powers of monomial ideals in order to show a deep connection between commutative algebra and some objects in combinatorics such as simplicial complexes, integral points in polytopes and graphs.","PeriodicalId":106509,"journal":{"name":"New Trends in Algebras and Combinatorics","volume":"128 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2018-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"New Trends in Algebras and Combinatorics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1142/9789811215476_0012","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 3
Abstract
This is an exposition of some new results on associated primes and the depth of different kinds of powers of monomial ideals in order to show a deep connection between commutative algebra and some objects in combinatorics such as simplicial complexes, integral points in polytopes and graphs.
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