形式局部上同模的推广

Pub Date : 2016-09-23 DOI:10.5666/KMJ.2016.56.3.737

S. Rezaei

{"title":"形式局部上同模的推广","authors":"S. Rezaei","doi":"10.5666/KMJ.2016.56.3.737","DOIUrl":null,"url":null,"abstract":". Let a and b be two ideals of a commutative Noetherian ring R , M a (cid:12)nitely generated R -module and i an integer. In this paper we study formal local cohomology modules with respect to a pair of ideals. We denote the i -th a -formal local cohomology module M with respect to b by F i a ; b ( M ). We show that if F i a ; b ( M ) is artinian, then a (cid:18) √ (0 : F i a ; b ( M )). Also, we show that F dim M a ; b ( M ) is artinian and we determine the set Att R F dim M a ; b ( M ).","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2016-09-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"A Generalization of Formal Local Cohomology Modules\",\"authors\":\"S. Rezaei\",\"doi\":\"10.5666/KMJ.2016.56.3.737\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". Let a and b be two ideals of a commutative Noetherian ring R , M a (cid:12)nitely generated R -module and i an integer. In this paper we study formal local cohomology modules with respect to a pair of ideals. We denote the i -th a -formal local cohomology module M with respect to b by F i a ; b ( M ). We show that if F i a ; b ( M ) is artinian, then a (cid:18) √ (0 : F i a ; b ( M )). Also, we show that F dim M a ; b ( M ) is artinian and we determine the set Att R F dim M a ; b ( M ).\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2016-09-23\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.5666/KMJ.2016.56.3.737\",\"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":"1085","ListUrlMain":"https://doi.org/10.5666/KMJ.2016.56.3.737","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 1

摘要

．设a和b是交换诺瑟环R的两个理想，M a (cid:12)完全生成R -模，i为整数。本文研究了关于一对理想的形式局部上同模。我们用F i a表示关于b的i - a -形式局部上同模M;b (M)。我们证明如果F i a;b (M)是人工的，那么a (cid:18)√(0:F ia;b (M))。我们还证明了F dim M;b (M)是人工的，我们确定集合Att R F dim M a;b (M)。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文

微信好友朋友圈 QQ好友复制链接

A Generalization of Formal Local Cohomology Modules

. Let a and b be two ideals of a commutative Noetherian ring R , M a (cid:12)nitely generated R -module and i an integer. In this paper we study formal local cohomology modules with respect to a pair of ideals. We denote the i -th a -formal local cohomology module M with respect to b by F i a ; b ( M ). We show that if F i a ; b ( M ) is artinian, then a (cid:18) √ (0 : F i a ; b ( M )). Also, we show that F dim M a ; b ( M ) is artinian and we determine the set Att R F dim M a ; b ( M ).

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助