Geodesic
A decomposition theorem for semiprime rings
Algebra and discrete mathematics, no. 1 (2005), pp. 62-68.

Voir la notice de l'article provenant de la source Math-Net.Ru

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.
Mots-clés : minor of a ring, local idempotent, semiprime ring, Peirce decomposition. 
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     author = {Marina Khibina},
     title = {A decomposition theorem for semiprime rings},
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     year = {2005},
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Marina Khibina. A decomposition theorem for semiprime rings. Algebra and discrete mathematics, no. 1 (2005), pp. 62-68. https://geodesic-test.mathdoc.fr/item/ADM_2005_1_a5/