A decomposition theorem for semiprime rings
A ring A is called an F DI-ring if there exists
 a decomposition of the identity of A in a sum of finite number
 of pairwise orthogonal primitive idempotents. We call a primitive idempotent e artinian if the ring eAe is Artinian. We prove
 that every semiprime F DI-ring is a...
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| Опубліковано в: : | Algebra and Discrete Mathematics |
|---|---|
| Дата: | 2005 |
| Автор: | |
| 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/123456789/156595 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | A decomposition theorem for semiprime rings / M. Khibina // Algebra and Discrete Mathematics. — 2005. — Vol. 4, № 1. — С. 62–68. — Бібліогр.: 4 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862748820977221632 |
|---|---|
| author | Khibina, M. |
| author_facet | Khibina, M. |
| citation_txt | A decomposition theorem for semiprime rings / M. Khibina // Algebra and Discrete Mathematics. — 2005. — Vol. 4, № 1. — С. 62–68. — Бібліогр.: 4 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| description | A ring A is called an F DI-ring if there exists
a decomposition of the identity of A in a sum of finite number
of pairwise orthogonal primitive idempotents. We call a primitive idempotent e artinian if the ring eAe is Artinian. We prove
that every semiprime F DI-ring is a direct product of a semisimple
Artinian ring and a semiprime F DI-ring whose identity decomposition doesn’t contain artinian idempotents.
|
| first_indexed | 2025-12-07T20:57:24Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-156595 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T20:57:24Z |
| publishDate | 2005 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Khibina, M. 2019-06-18T17:33:21Z 2019-06-18T17:33:21Z 2005 A decomposition theorem for semiprime rings / M. Khibina // Algebra and Discrete Mathematics. — 2005. — Vol. 4, № 1. — С. 62–68. — Бібліогр.: 4 назв. — англ. 1726-3255 2000 Mathematics Subject Classification: 16P40, 16G10. https://nasplib.isofts.kiev.ua/handle/123456789/156595 A ring A is called an F DI-ring if there exists
 a decomposition of the identity of A in a sum of finite number
 of pairwise orthogonal primitive idempotents. We call a primitive idempotent e artinian if the ring eAe is Artinian. We prove
 that every semiprime F DI-ring is a direct product of a semisimple
 Artinian ring and a semiprime F DI-ring whose identity decomposition doesn’t contain artinian idempotents. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics A decomposition theorem for semiprime rings Article published earlier |
| spellingShingle | A decomposition theorem for semiprime rings Khibina, M. |
| title | A decomposition theorem for semiprime rings |
| title_full | A decomposition theorem for semiprime rings |
| title_fullStr | A decomposition theorem for semiprime rings |
| title_full_unstemmed | A decomposition theorem for semiprime rings |
| title_short | A decomposition theorem for semiprime rings |
| title_sort | decomposition theorem for semiprime rings |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/156595 |
| work_keys_str_mv | AT khibinam adecompositiontheoremforsemiprimerings AT khibinam decompositiontheoremforsemiprimerings |