Rings which have (m,n)-flat injective modules
A ring R is said to be a left IF − (m, n) ring if
 every injective left R-module is (m, n)-flat. In this paper, several
 characterizations of left IF − (m, n) rings are investigated, some
 conditions under which R is left IF−(m, n) are given. Furthermore,
 conditions...
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| Опубліковано в: : | Algebra and Discrete Mathematics |
|---|---|
| Дата: | 2005 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2005
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/157333 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Rings which have (m,n)-flat injective modules / Z. Zhanmin, X. Zhangsheng // Algebra and Discrete Mathematics. — 2005. — Vol. 4, № 4. — С. 93–100. — Бібліогр.: 12 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862701927002800128 |
|---|---|
| author | Zhanmin, Z. Zhangsheng, X. |
| author_facet | Zhanmin, Z. Zhangsheng, X. |
| citation_txt | Rings which have (m,n)-flat injective modules / Z. Zhanmin, X. Zhangsheng // Algebra and Discrete Mathematics. — 2005. — Vol. 4, № 4. — С. 93–100. — Бібліогр.: 12 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| description | A ring R is said to be a left IF − (m, n) ring if
every injective left R-module is (m, n)-flat. In this paper, several
characterizations of left IF − (m, n) rings are investigated, some
conditions under which R is left IF−(m, n) are given. Furthermore,
conditions under which a left IF −1 ring (i.e., IF −(1, 1) ring) is a
field, a regular ring and a semisimple ring are studied respectively.
|
| first_indexed | 2025-12-07T16:43:28Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-157333 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T16:43:28Z |
| publishDate | 2005 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Zhanmin, Z. Zhangsheng, X. 2019-06-20T02:30:38Z 2019-06-20T02:30:38Z 2005 Rings which have (m,n)-flat injective modules / Z. Zhanmin, X. Zhangsheng // Algebra and Discrete Mathematics. — 2005. — Vol. 4, № 4. — С. 93–100. — Бібліогр.: 12 назв. — англ. 1726-3255 2000 Mathematics Subject Classification: 16D50, 16E65. https://nasplib.isofts.kiev.ua/handle/123456789/157333 A ring R is said to be a left IF − (m, n) ring if
 every injective left R-module is (m, n)-flat. In this paper, several
 characterizations of left IF − (m, n) rings are investigated, some
 conditions under which R is left IF−(m, n) are given. Furthermore,
 conditions under which a left IF −1 ring (i.e., IF −(1, 1) ring) is a
 field, a regular ring and a semisimple ring are studied respectively. We are indebted to the referee for several comments that improved the
 paper. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Rings which have (m,n)-flat injective modules Article published earlier |
| spellingShingle | Rings which have (m,n)-flat injective modules Zhanmin, Z. Zhangsheng, X. |
| title | Rings which have (m,n)-flat injective modules |
| title_full | Rings which have (m,n)-flat injective modules |
| title_fullStr | Rings which have (m,n)-flat injective modules |
| title_full_unstemmed | Rings which have (m,n)-flat injective modules |
| title_short | Rings which have (m,n)-flat injective modules |
| title_sort | rings which have (m,n)-flat injective modules |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/157333 |
| work_keys_str_mv | AT zhanminz ringswhichhavemnflatinjectivemodules AT zhangshengx ringswhichhavemnflatinjectivemodules |