半Σ准投射模自同态环的幂替换性质

The Power-Substitution Condition of Endomorphism Rings of Semi-Σ-quasi-projective Modules

证明了若半Σ准投射模分别是弱幂满投射的和弱幂同构投射的,则其自同态环分别具有弱右幂替换性质和幂替换性质,从而部分推广了WuTongsuo的一个主要结果.

It was proved that the endomorphism ring of a semiΣquasiprojective module P has powersubstitution property (respectively weak right powersubstitution property) provided P is weakly powerisoprojective (respectively weakly powerepiprojective). Consequently it was partially generalized a main result.