伪内射模与主伪内射模

Pseudo-Injective Modules and Principally Pseudo-Injective Modules

中文关键词:  伪内射模  主伪内射模  主自生成子  自同态环  Jacobon根.

英文关键词:pseudo-injective  principally pseudo-injective  idempotent principal self-generator  endomorphism ring  Jacobson radical.

中文摘要:

      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.

英文摘要:

      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.