{"title":"Regularity of powers of path ideals of line graphs","authors":"Jiawen Shan, Dancheng Lu","doi":"10.1080/00927872.2024.2367170","DOIUrl":null,"url":null,"abstract":"Let I be the t-path ideal of Ln, the line graph with n-vertices. It is shown that Is has a linear resolution for some s≥1 (or equivalently for all s≥1) if and only if Is has linear quotients for so...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":"68 1","pages":""},"PeriodicalIF":0.6000,"publicationDate":"2024-07-01","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/10.1080/00927872.2024.2367170","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
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Abstract
Let I be the t-path ideal of Ln, the line graph with n-vertices. It is shown that Is has a linear resolution for some s≥1 (or equivalently for all s≥1) if and only if Is has linear quotients for so...
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
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