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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| Veröffentlicht in: | Algebra and Discrete Mathematics |
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| Datum: | 2018 |
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| Format: | Artikel |
| Sprache: | English |
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Інститут прикладної математики і механіки НАН України
2018
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/188345 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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. |
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Hadjirezaei, S. Karimzadeh, S. 2023-02-23T19:18:47Z 2023-02-23T19:18:47Z 2018 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. https://nasplib.isofts.kiev.ua/handle/123456789/188345 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. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics On the Fitting ideals of a multiplication module Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
On the Fitting ideals of a multiplication module |
| spellingShingle |
On the Fitting ideals of a multiplication module Hadjirezaei, S. Karimzadeh, S. |
| 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 |
| author |
Hadjirezaei, S. Karimzadeh, S. |
| author_facet |
Hadjirezaei, S. Karimzadeh, S. |
| publishDate |
2018 |
| language |
English |
| container_title |
Algebra and Discrete Mathematics |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| 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.
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| issn |
1726-3255 |
| url |
https://nasplib.isofts.kiev.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. |
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AT hadjirezaeis onthefittingidealsofamultiplicationmodule AT karimzadehs onthefittingidealsofamultiplicationmodule |
| first_indexed |
2025-12-07T19:28:25Z |
| last_indexed |
2025-12-07T19:28:25Z |
| _version_ |
1850878937600622592 |