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http://hdl.handle.net/123456789/146
Title: | A decomposition theorem for semiprime rings |
Other Titles: | Dedicated to Yu.A. Drozd on the occasion of his 60th birthday |
Authors: | Khibina, Marina |
Keywords: | алгебра |
Issue Date: | 2005 |
Publisher: | Луганский национальный университет им. Т. Шевченко |
Abstract: | A ring A is called an FDI-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 FDI-ring is a direct product of a semisimple Artinian ring and a semiprime FDI-ring whose identity decomposition doesn’t contain artinian idempotents. |
URI: | http://hdl.handle.net/123456789/146 |
ISSN: | 1726-3255 |
Appears in Collections: | Статті |
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File | Description | Size | Format | |
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adm-n1-5.pdf | 119.58 kB | Adobe PDF | View/Open |
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