期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：1995
卷号：18
DOI：10.1155/S0161171295000391
出版社：Hindawi Publishing Corporation
摘要：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 Goldie for all e∈E, and we calculate the classical right quotient ring of R.
