Doan Trung Cuong, Hailong Dao, David Eisenbud, Toshinori Kobayashi, Claudia Polini, Bernd Ulrich
{"title":"Syzygies of the residue field over Golod rings","authors":"Doan Trung Cuong, Hailong Dao, David Eisenbud, Toshinori Kobayashi, Claudia Polini, Bernd Ulrich","doi":"arxiv-2408.13425","DOIUrl":null,"url":null,"abstract":"Let $(R,m,k)$ be a Golod ring. We show a recurrent formula for high syzygies\nof $k$ interms of previous ones. In the case of embedding dimension at most\n$2$, we provided complete descriptions of all indecomposable summands of all\nsyzygies of $k$.","PeriodicalId":501475,"journal":{"name":"arXiv - MATH - Commutative Algebra","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2024-08-24","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-2408.13425","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 $(R,m,k)$ be a Golod ring. We show a recurrent formula for high syzygies
of $k$ interms of previous ones. In the case of embedding dimension at most
$2$, we provided complete descriptions of all indecomposable summands of all
syzygies of $k$.
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
