A decomposition theorem for semiprime rings
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
A decomposition theorem for semiprime rings
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| Creator |
Khibina, M.
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| 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. |
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| Date |
2019-06-18T17:33:21Z
2019-06-18T17:33:21Z 2005 |
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| Type |
Article
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| Identifier |
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 |
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| Language |
en
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| Relation |
Algebra and Discrete Mathematics
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| Publisher |
Інститут прикладної математики і механіки НАН України
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