Classical quotient rings of generalized matrix rings

An associative ring R with identity is a generalized matrix ring with idempotent set E if E is a finite set of orthogonal idempotents of R whose sum is 1. We show that, in the presence of certain annihilator conditions, such a ring is semiprime right Goldie if and only if eRe is semiprime right Gold...

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Bibliographic Details
Main Authors: David G. Poole, Patrick N. Stewart
Format: Article
Language:English
Published: Wiley 1995-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171295000391
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