{"title":"On cohomologically complete intersection\n modules","authors":"Waqas Mahmood","doi":"10.32917/H2019073","DOIUrl":null,"url":null,"abstract":"In this paper, several necessary and su‰cient conditions are presented for a module M to be cohomologically complete intersection module with respect to I , i.e. H i I ðMÞ 1⁄4 0 for all i0 c 1⁄4 gradeðI ;MÞ. This notion is a generalization of cohomologically complete intersection ideals.","PeriodicalId":55054,"journal":{"name":"Hiroshima Mathematical Journal","volume":"51 1","pages":""},"PeriodicalIF":0.5000,"publicationDate":"2021-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Hiroshima Mathematical Journal","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.32917/H2019073","RegionNum":4,"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
In this paper, several necessary and su‰cient conditions are presented for a module M to be cohomologically complete intersection module with respect to I , i.e. H i I ðMÞ 1⁄4 0 for all i0 c 1⁄4 gradeðI ;MÞ. This notion is a generalization of cohomologically complete intersection ideals.
期刊介绍:
Hiroshima Mathematical Journal (HMJ) is a continuation of Journal of Science of the Hiroshima University, Series A, Vol. 1 - 24 (1930 - 1960), and Journal of Science of the Hiroshima University, Series A - I , Vol. 25 - 34 (1961 - 1970).
Starting with Volume 4 (1974), each volume of HMJ consists of three numbers annually. This journal publishes original papers in pure and applied mathematics. HMJ is an (electronically) open access journal from Volume 36, Number 1.