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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 direct product of a semi...
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Інститут прикладної математики і механіки НАН України
2005
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| Series: | Algebra and Discrete Mathematics |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/156595 |
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irk-123456789-1565952019-06-19T01:28:18Z A decomposition theorem for semiprime rings Khibina, M. 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. 2005 Article 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. http://dspace.nbuv.gov.ua/handle/123456789/156595 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 |
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. |
| format |
Article |
| author |
Khibina, M. |
| spellingShingle |
Khibina, M. A decomposition theorem for semiprime rings Algebra and Discrete Mathematics |
| author_facet |
Khibina, M. |
| author_sort |
Khibina, M. |
| title |
A decomposition theorem for semiprime rings |
| title_short |
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_sort |
decomposition theorem for semiprime rings |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2005 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/156595 |
| 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. |
| series |
Algebra and Discrete Mathematics |
| work_keys_str_mv |
AT khibinam adecompositiontheoremforsemiprimerings AT khibinam decompositiontheoremforsemiprimerings |
| first_indexed |
2023-05-20T17:49:46Z |
| last_indexed |
2023-05-20T17:49:46Z |
| _version_ |
1796154193788010496 |