I PRIKLADNAYA MATEMATIKA
(FUNDAMENTAL AND APPLIED MATHEMATICS)
2008, VOLUME 14, NUMBER 2, PAGES 207-221
Rings without infinite sets of noncentral orthogonal idempotents
A. A. Tuganbaev
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a ring without infinite sets of noncentral orthogonal
exchange ring if and only if all Pierce stalks of are semiperfect rings.
are -modules if
and only if either is a right
semi-Artinian ring in which every proper right ideal is the
intersection of maximal right ideals or is an
Artinian serial ring such that the square of the Jacobson radical of
is equal to zero.
Last modified: December 18, 2008