J4 ›› 2010, Vol. 45 ›› Issue (6): 31-34.

• Articles • Previous Articles     Next Articles

Endomorphism rings of quasi AP-injective modules

YIN Xiao-bin1, HUANG Xiao-lin1, WANG Kai-yun2   

  1. 1. College of Mathematics and Computer Science, Anhui Normal University, Wuhu, 241000, Anhui China;
    2. College of Mathematics and Information Science, Shaanxi Normal University, Xi'an, 710062, Shaanxi,China
  • Received:2009-07-10 Online:2010-06-16 Published:2010-06-17

Abstract:

 Let R be a ring, MR be a quasi AP-injective module, S=End(MR), N(S) be a set of nilpotents of S. Suppose that S satisfing the special ascending chain conditions, the strong regularity and the semisimplicity of S are investigated, the realationship between S and some special rings are obtained. 

Key words: quasi AP-injective modules; special ascending chain condition; strongly regular rings; semisimple rings; semiabelian rings

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