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 project...
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| Date: | 2018 |
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| Language: | English |
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Lugansk National Taras Shevchenko University
2018
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| Online Access: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/64 |
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| Journal Title: | Algebra and Discrete Mathematics |
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oai:ojs.admjournal.luguniv.edu.ua:article-642018-05-17T07:54:05Z On the Fitting ideals of a multiplication module Hadjirezaei, Somayeh Karimzadeh, Somayeh fitting ideals, multiplication module, projective of constant rank, faithful module 13C05, 13C99, 11Y50 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. Lugansk National Taras Shevchenko University 2018-04-27 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/64 Algebra and Discrete Mathematics; Vol 25, No 1 (2018) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/64/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/64/334 Copyright (c) 2018 Algebra and Discrete Mathematics |
| institution |
Algebra and Discrete Mathematics |
| baseUrl_str |
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| datestamp_date |
2018-05-17T07:54:05Z |
| collection |
OJS |
| language |
English |
| topic |
fitting ideals multiplication module projective of constant rank faithful module 13C05 13C99 11Y50 |
| spellingShingle |
fitting ideals multiplication module projective of constant rank faithful module 13C05 13C99 11Y50 Hadjirezaei, Somayeh Karimzadeh, Somayeh On the Fitting ideals of a multiplication module |
| topic_facet |
fitting ideals multiplication module projective of constant rank faithful module 13C05 13C99 11Y50 |
| format |
Article |
| author |
Hadjirezaei, Somayeh Karimzadeh, Somayeh |
| author_facet |
Hadjirezaei, Somayeh Karimzadeh, Somayeh |
| author_sort |
Hadjirezaei, Somayeh |
| 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 |
| 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. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2018 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/64 |
| work_keys_str_mv |
AT hadjirezaeisomayeh onthefittingidealsofamultiplicationmodule AT karimzadehsomayeh onthefittingidealsofamultiplicationmodule |
| first_indexed |
2025-07-17T10:35:34Z |
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2025-07-17T10:35:34Z |
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1837890047905366016 |