{"title":"上同调完全交模","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":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"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\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2021-03-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.32917/H2019073\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.32917/H2019073","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
摘要
在本文中,给出了模M是关于I的上同调完全交模的几个必要和充分条件,即对于所有i0 c 1⁄4等级的H I I?MÞ1⁄40;MÞ。这个概念是上同调完全交集理想的推广。
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.