2008 | OriginalPaper | Buchkapitel
Ring Hulls of Semiprime Homomorphic Images
verfasst von : Gary F. Birkenmeier, Jae Keol Park, S. Tariq Rizvi
Erschienen in: Modules and Comodules
Verlag: Birkhäuser Basel
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We investigate connections between the right FI-extending right ring hulls of semiprime homomorphic images of a ring
R
and the right FI-extending right rings of quotients of
R
by considering ideals of
R
which are essentially closed and contain the prime radical
P
(
R
). As an application of our results, we show that the bounded central closure of a unital
C
*-algebra
A
contains a nonzero homomorphic image of
A/K
for every nonessential ideal
K
of
A
.