Rings without infinite sets of noncentral orthogonal idempotents

  • A. A. Tuganbaev


Let A be a ring without infinite sets of noncentral orthogonal idempotents. A is an exchange ring if and only if all Pierce stalks of A are semiperfect rings. All A-modules are I 0-modules if and only if either A is a right semi-Artinian ring in which every proper right ideal is the intersection of maximal right ideals or A/ SI(A A ) is an Artinian serial ring such that the square of the Jacobson radical of A/ SI(A A ) is equal to zero.


Exchange Ring Special Ring Central Idempotent Factor Ring Essential Extension 
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Copyright information

© Springer Science+Business Media, Inc. 2009

Authors and Affiliations

  1. 1.Russian University of Trade and EconomicsMoscowRussia

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