{"title":"Depth of powers of edge ideals of Cohen-Macaulay trees","authors":"Hang Thu Nguyen, Hien Thi Truong, Thanh Vu","doi":"10.1080/00927872.2024.2363948","DOIUrl":null,"url":null,"abstract":"Let I be the edge ideal of a Cohen-Macaulay tree of dimension d over a polynomial ring S=k[x1,…,xd,y1,…,yd]. We prove that for all t≥1, depth(S/It)=max{d−t+1,1}.","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":"33 1","pages":""},"PeriodicalIF":0.6000,"publicationDate":"2024-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Communications in Algebra","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1080/00927872.2024.2363948","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
Let I be the edge ideal of a Cohen-Macaulay tree of dimension d over a polynomial ring S=k[x1,…,xd,y1,…,yd]. We prove that for all t≥1, depth(S/It)=max{d−t+1,1}.
期刊介绍：
Communications in Algebra presents high quality papers of original research in the field of algebra. Articles from related research areas that have a significant bearing on algebra might also be published.
Topics Covered Include:
-Commutative Algebra
-Ring Theory
-Module Theory
-Non-associative Algebra including Lie algebras, Jordan algebras
-Group Theory
-Algebraic geometry
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
