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On the Fitting ideals of a multiplication module

On the Fitting ideals of a multiplication module

In this paper, we characterize all finitely generated multiplication R-modules whose the first nonzero Fitting ideal of them is contained in only finitely many maximal ideals. Also, we prove that a finitely generated multiplication R-module M is faithful if and only if M is a projective of constant...

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Main Authors: Hadjirezaei, S., Karimzadeh, S.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2018
Series:Algebra and Discrete Mathematics
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/188345
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spelling irk-123456789-1883452023-02-25T01:26:46Z On the Fitting ideals of a multiplication module Hadjirezaei, S. Karimzadeh, S. In this paper, we characterize all finitely generated multiplication R-modules whose the first nonzero Fitting ideal of them is contained in only finitely many maximal ideals. Also, we prove that a finitely generated multiplication R-module M is faithful if and only if M is a projective of constant rank one R-module. 2018 Article On the Fitting ideals of a multiplication module / S. Hadjirezaei, S. Karimzadeh // Algebra and Discrete Mathematics. — 2018. — Vol. 25, № 1. — С. 27-34. — Бібліогр.: 15 назв. — англ. 1726-3255 2010 MSC: 13C05, 13C99, 11Y50. http://dspace.nbuv.gov.ua/handle/123456789/188345 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
language English
description In this paper, we characterize all finitely generated multiplication R-modules whose the first nonzero Fitting ideal of them is contained in only finitely many maximal ideals. Also, we prove that a finitely generated multiplication R-module M is faithful if and only if M is a projective of constant rank one R-module.
format Article
author Hadjirezaei, S.
Karimzadeh, S.
spellingShingle Hadjirezaei, S.
Karimzadeh, S.
On the Fitting ideals of a multiplication module
Algebra and Discrete Mathematics
author_facet Hadjirezaei, S.
Karimzadeh, S.
author_sort Hadjirezaei, S.
title On the Fitting ideals of a multiplication module
title_short On the Fitting ideals of a multiplication module
title_full On the Fitting ideals of a multiplication module
title_fullStr On the Fitting ideals of a multiplication module
title_full_unstemmed On the Fitting ideals of a multiplication module
title_sort on the fitting ideals of a multiplication module
publisher Інститут прикладної математики і механіки НАН України
publishDate 2018
url http://dspace.nbuv.gov.ua/handle/123456789/188345
citation_txt On the Fitting ideals of a multiplication module / S. Hadjirezaei, S. Karimzadeh // Algebra and Discrete Mathematics. — 2018. — Vol. 25, № 1. — С. 27-34. — Бібліогр.: 15 назв. — англ.
series Algebra and Discrete Mathematics
work_keys_str_mv AT hadjirezaeis onthefittingidealsofamultiplicationmodule
AT karimzadehs onthefittingidealsofamultiplicationmodule
first_indexed 2023-10-18T23:08:09Z
last_indexed 2023-10-18T23:08:09Z
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