半∑准投射模自同态环的稳定秩

Stable Range of Endomorphism Rings of Semi Σ Quasi Projective Modules

中文关键词:  半∑准投射模  稳定秩  弱n满投射

英文关键词:semi-∑-quasi-projective module  stable range  weakly n-eip-projective.

中文摘要:

      本文证明了若半∑准投射模是弱n满投射的,则其自同态环的稳定秩至多为n,从而部分推广了文献[3]的一个主要结果.

英文摘要:

      We prove that the endomorphism ring of semi-∑-quasi-projective module P has stable range at most n provided P is weakly n-epi-projective. Consequently, we partially generalize a main result in [3].