广义局部上同调模的有限性维数和有限性

IF 0.2 4区数学 Q4 MATHEMATICS

Mathematical Reports Pub Date : 2018-10-24 DOI:10.59277/mrar.2023.25.75.2.349

A. Vahidi, M. Aghapournahr, E. M. Renani

{"title":"广义局部上同调模的有限性维数和有限性","authors":"A. Vahidi, M. Aghapournahr, E. M. Renani","doi":"10.59277/mrar.2023.25.75.2.349","DOIUrl":null,"url":null,"abstract":"Let R be a commutative Noetherian ring with non-zero identity, a an ideal of R, M a nite R-module, and n a non-negative integer. In this paper, for an arbitrary R-module X which is not necessarily nite, we prove the following results: (i) fn a (M;X) = i","PeriodicalId":49858,"journal":{"name":"Mathematical Reports","volume":"59 1","pages":""},"PeriodicalIF":0.2000,"publicationDate":"2018-10-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"FINITENESS DIMENSIONS AND COFINITENESS OF GENERALIZED LOCAL COHOMOLOGY MODULES\",\"authors\":\"A. Vahidi, M. Aghapournahr, E. M. Renani\",\"doi\":\"10.59277/mrar.2023.25.75.2.349\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Let R be a commutative Noetherian ring with non-zero identity, a an ideal of R, M a nite R-module, and n a non-negative integer. In this paper, for an arbitrary R-module X which is not necessarily nite, we prove the following results: (i) fn a (M;X) = i\",\"PeriodicalId\":49858,\"journal\":{\"name\":\"Mathematical Reports\",\"volume\":\"59 1\",\"pages\":\"\"},\"PeriodicalIF\":0.2000,\"publicationDate\":\"2018-10-24\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mathematical Reports\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.59277/mrar.2023.25.75.2.349\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematical Reports","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.59277/mrar.2023.25.75.2.349","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 0

摘要

设R是一个非零单位元的交换诺瑟环，a是R的理想，M是一个非负模，n是一个非负整数。对于任意r模X，我们证明了以下结果:(i) fn a (M;X) = i

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

FINITENESS DIMENSIONS AND COFINITENESS OF GENERALIZED LOCAL COHOMOLOGY MODULES

Let R be a commutative Noetherian ring with non-zero identity, a an ideal of R, M a nite R-module, and n a non-negative integer. In this paper, for an arbitrary R-module X which is not necessarily nite, we prove the following results: (i) fn a (M;X) = i

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

来源期刊

Mathematical Reports MATHEMATICS-

CiteScore

0.20

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The journal MATHEMATICAL REPORTS (formerly STUDII SI CERCETARI MATEMATICE) was founded in 1948 by the Mathematics Section of the Romanian Academy. It appeared under its first name until 1998 and received the name of Mathematical Reports in 1999. It is now published in one volume a year, consisting in 4 issues. The current average total number of pages is 500. Our journal MATHEMATICAL REPORTS publishes original mathematical papers, written in English. Excellent survey articles may be also accepted. The editors will put strong emphasis on originality, quality and applicability.