SERRE SUBCATEGORY, LOCAL HOMOLOGY AND LOCAL COHOMOLOGY

SERRE SUBCATEGORY, LOCAL HOMOLOGY AND LOCAL COHOMOLOGY

We show some results about local homology modules and local cohomology modules concerning to being in a serre sub<br /> category of the category of R-modules. Also for an ideal I of R we define the concept of CI condition on a serre category, which seems dual to CI condition of Melkerson [1]....

Full description

Bibliographic Details
Main Authors: S. O. Faramarzi, Z. Barghsouz
Format: Article
Language:English
Published: Shahrood University of Technology 2020-01-01
Series:Journal of Algebraic Systems
Subjects:
local homology
local cohomology
serre category
Online Access:http://jas.shahroodut.ac.ir/article_1597_067f1dfdd98a689c0c7d5492964b4236.pdf
id doaj-64b915dc07e548bb8ff59436a39c2a4b
record_format Article
spelling doaj-64b915dc07e548bb8ff59436a39c2a4b2020-11-25T00:35:28ZengShahrood University of TechnologyJournal of Algebraic Systems2345-51282345-511X2020-01-017230131410.22044/jas.2019.7430.13661597SERRE SUBCATEGORY, LOCAL HOMOLOGY AND LOCAL COHOMOLOGYS. O. Faramarzi0Z. Barghsouz1Department of Mathematics, Payam Noor University (PNU), Tehran, Iran.Department of Mathematics, Payam Noor University (PNU), Tehran, Iran.We show some results about local homology modules and local cohomology modules concerning to being in a serre sub<br /> category of the category of R-modules. Also for an ideal I of R we define the concept of CI condition on a serre category, which seems dual to CI condition of Melkerson [1]. As a main result we show that for any minimax R-module M of any serre category S that satisifies CI (CI) condition the local homology module HiI(M)<br /> (local cohomology module HIi(M) 2 S) for all i ≥ 0.http://jas.shahroodut.ac.ir/article_1597_067f1dfdd98a689c0c7d5492964b4236.pdflocal homologylocal cohomologyserre category
collection DOAJ
language English
format Article
sources DOAJ
author S. O. Faramarzi
Z. Barghsouz
spellingShingle S. O. Faramarzi
Z. Barghsouz
SERRE SUBCATEGORY, LOCAL HOMOLOGY AND LOCAL COHOMOLOGY
Journal of Algebraic Systems
local homology
local cohomology
serre category
author_facet S. O. Faramarzi
Z. Barghsouz
author_sort S. O. Faramarzi
title SERRE SUBCATEGORY, LOCAL HOMOLOGY AND LOCAL COHOMOLOGY
title_short SERRE SUBCATEGORY, LOCAL HOMOLOGY AND LOCAL COHOMOLOGY
title_full SERRE SUBCATEGORY, LOCAL HOMOLOGY AND LOCAL COHOMOLOGY
title_fullStr SERRE SUBCATEGORY, LOCAL HOMOLOGY AND LOCAL COHOMOLOGY
title_full_unstemmed SERRE SUBCATEGORY, LOCAL HOMOLOGY AND LOCAL COHOMOLOGY
title_sort serre subcategory, local homology and local cohomology
publisher Shahrood University of Technology
series Journal of Algebraic Systems
issn 2345-5128
2345-511X
publishDate 2020-01-01
description We show some results about local homology modules and local cohomology modules concerning to being in a serre sub<br /> category of the category of R-modules. Also for an ideal I of R we define the concept of CI condition on a serre category, which seems dual to CI condition of Melkerson [1]. As a main result we show that for any minimax R-module M of any serre category S that satisifies CI (CI) condition the local homology module HiI(M)<br /> (local cohomology module HIi(M) 2 S) for all i ≥ 0.
topic local homology
local cohomology
serre category
url http://jas.shahroodut.ac.ir/article_1597_067f1dfdd98a689c0c7d5492964b4236.pdf
work_keys_str_mv AT sofaramarzi serresubcategorylocalhomologyandlocalcohomology
AT zbarghsouz serresubcategorylocalhomologyandlocalcohomology
_version_ 1725308911027748864

Similar Items