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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| Дата: | 2018 |
|---|---|
| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2018
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| Назва видання: | Algebra and Discrete Mathematics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/188345 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-188345 |
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dspace |
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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 |
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AT hadjirezaeis onthefittingidealsofamultiplicationmodule AT karimzadehs onthefittingidealsofamultiplicationmodule |
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2023-10-18T23:08:09Z |
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2023-10-18T23:08:09Z |
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1796157339705802752 |