Pseudo-Injective Modules and Principally Pseudo-Injective Modules  

伪内射模与主伪内射模(英文)

作　　者：杜先能[1] 赵春娥[1] 

机构地区：[1]安徽大学数学与计算科学学院,安徽合肥230039

出　　处：《Journal of Mathematical Research and Exposition》2007年第2期223-228,共6页数学研究与评论（英文版）

基　　金：the National Natural Science Foundation of China (10371101).

摘　　要：Considered in this paper are pseudo-injective modules and principally pseudoinjective 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.本文研究了伪内射模与主伪内射模,它们分别是拟内射模与PQ-内射模的推广．伪内射模是对偶于伪投射模的．我们讨论了伪内射模与主伪内射模的性质及其自同态环,并得到了自同态环的Jacobson根的若干性质．

关 键 词：pseudo-injective principally pseudo-injective idempotent principal self-generator endomorphism ring Jacobson radical 

分 类 号：O153.3[理学—数学]