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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| Published in: | Algebra and Discrete Mathematics |
|---|---|
| Date: | 2018 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2018
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/188345 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862731869653565440 |
|---|---|
| author | Hadjirezaei, S. Karimzadeh, S. |
| author_facet | Hadjirezaei, S. Karimzadeh, S. |
| 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. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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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| first_indexed | 2025-12-07T19:28:25Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-188345 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T19:28:25Z |
| publishDate | 2018 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | On the Fitting ideals of a multiplication module Hadjirezaei, S. Karimzadeh, S. |
| title | 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_short | On the Fitting ideals of a multiplication module |
| title_sort | on the fitting ideals of a multiplication module |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/188345 |
| work_keys_str_mv | AT hadjirezaeis onthefittingidealsofamultiplicationmodule AT karimzadehs onthefittingidealsofamultiplicationmodule |