T拟内射模与TQI环

T-Quasinjective Modules and TQI Rings

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.