Pseudo-Injective Modules and Principally Pseudo-Injective Modules
Received:September 27, 2005  Revised:July 02, 2006
Key Words: pseudo-injective   principally pseudo-injective   idempotent principal self-generator   endomorphism ring   Jacobson radical.  
Fund Project:the National Natural Science Foundation of China (10371101).
Author NameAffiliation
DU Xian-neng School of Mathematics and Computational Sciences, Anhui University, Hefei 230039, China 
ZHAO Chun-e School of Mathematics and Computational Sciences, Anhui University, Hefei 230039, China 
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Abstract:
      Considered in this paper are pseudo-injective modules and principally pseudo-injective modules, which are generalizations of quasi-injective modules and PQ-injective modules. Pseudo-injective modules are dual to pseudo-projective modules. We study their properties and endomorphism rings, and obtain some properties of the Jacobson radical of such rings.
Citation:
DOI:10.3770/j.issn:1000-341X.2007.02.001
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