General formal local cohomology modules

Let (R,m) be a local ring, Ф a system of ideals of R and M a finitely generated R-module. In this paper, we define and study general formal local cohomology modules. We denote the i-th general formal local cohomology module M with respect to Ф by ⁱФ(M) and we investigate some finiteness and Artinian...

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Veröffentlicht in:Algebra and Discrete Mathematics
Datum:2020
1. Verfasser: Rezaei Sh.
Format: Artikel
Sprache:Englisch
Veröffentlicht: Інститут прикладної математики і механіки НАН України 2020
Online Zugang:https://nasplib.isofts.kiev.ua/handle/123456789/188568
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren:General formal local cohomology modules / Sh. Rezaei // Algebra and Discrete Mathematics. — 2020. — Vol. 30, № 2. — С. 254–266. — Бібліогр.: 13 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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author Rezaei Sh.
author_facet Rezaei Sh.
citation_txt General formal local cohomology modules / Sh. Rezaei // Algebra and Discrete Mathematics. — 2020. — Vol. 30, № 2. — С. 254–266. — Бібліогр.: 13 назв. — англ.
collection DSpace DC
container_title Algebra and Discrete Mathematics
description Let (R,m) be a local ring, Ф a system of ideals of R and M a finitely generated R-module. In this paper, we define and study general formal local cohomology modules. We denote the i-th general formal local cohomology module M with respect to Ф by ⁱФ(M) and we investigate some finiteness and Artinianness properties of general formal local cohomology modules.
first_indexed 2025-11-24T15:07:06Z
format Article
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id nasplib_isofts_kiev_ua-123456789-188568
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
issn 1726-3255
language English
last_indexed 2025-11-24T15:07:06Z
publishDate 2020
publisher Інститут прикладної математики і механіки НАН України
record_format dspace
spelling Rezaei Sh.
2023-03-06T14:49:19Z
2023-03-06T14:49:19Z
2020
General formal local cohomology modules / Sh. Rezaei // Algebra and Discrete Mathematics. — 2020. — Vol. 30, № 2. — С. 254–266. — Бібліогр.: 13 назв. — англ.
1726-3255
DOI:10.12958/adm1068
2010 MSC: 13D45, 13C14
https://nasplib.isofts.kiev.ua/handle/123456789/188568
Let (R,m) be a local ring, Ф a system of ideals of R and M a finitely generated R-module. In this paper, we define and study general formal local cohomology modules. We denote the i-th general formal local cohomology module M with respect to Ф by ⁱФ(M) and we investigate some finiteness and Artinianness properties of general formal local cohomology modules.
The author thanks the referee for his careful reading and useful suggestions on this paper.
en
Інститут прикладної математики і механіки НАН України
Algebra and Discrete Mathematics
General formal local cohomology modules
Article
published earlier
spellingShingle General formal local cohomology modules
Rezaei Sh.
title General formal local cohomology modules
title_full General formal local cohomology modules
title_fullStr General formal local cohomology modules
title_full_unstemmed General formal local cohomology modules
title_short General formal local cohomology modules
title_sort general formal local cohomology modules
url https://nasplib.isofts.kiev.ua/handle/123456789/188568
work_keys_str_mv AT rezaeish generalformallocalcohomologymodules