摘要
本文定义并刻划了T拟内射模与T拟内射包,证明了WG-cocriticalT拟内射模的自同态环为正则非奇异右自内射环.最后讨论了T拟内射模与T内射模一致的环,即TQI环.
In this paper,quasinjective modules and quasinjective hulls are generalized to thesituation of a hereditary torsion theory, the author defines and investigates T-quasinjective mod-ules,T-quasinjective hulls and TQI rings, then gives seven equivalent conditions that every rightideal in Gabriel topology G is T-quasinjective.
出处
《数学学报(中文版)》
SCIE
CSCD
北大核心
1995年第1期71-76,共6页
Acta Mathematica Sinica:Chinese Series
关键词
遗传扭论
TQI环
T拟内射模
结合环
hereditary torsion theory, Gabriel topology, T-quasinjective modules,T-quasinjecti-ve hulls,TQI rings