A decomposition theorem for semiprime rings

• Published in: Algebra and Discrete Mathematics
• Date: 2005
• Main Author: Khibina, M.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2005
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/156595
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: A decomposition theorem for semiprime rings / M. Khibina // Algebra and Discrete Mathematics. — 2005. — Vol. 4, № 1. — С. 62–68. — Бібліогр.: 4 назв. — англ.

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...