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On CS Rings and QF Rings
Authors:Miao-Sen Chen
Institution:(1) Department of Mathematics, Zhejiang Normal University, Jinhua, Zhejiang, 321004, China
Abstract:In this paper, we shall discuss the conditions for a right SC right CS ring to be a QF ring. In particular, we prove that if R is a right SI right CS ring satisfying the reflexive orthogonal condition (*) and if every CS right R-module is Sgr-CS, then R is a QF ring.AMS Subject Classification (1991): 16L30 16L60
Keywords:CS ring  QF ring  self-injective ring  SC ring  SI ring
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