摘要
本文证明了:对于拟投射右R-模M,EndR(M)满足wsr1条件(即弱的stablerangeone条件)当且仅当MR是T-投射模;wsr1条件是左右对称的;对于vonNeumann正则环R,R满足wsr1条件当且仅当R为单侧幺正则环.
We prove that for a right quasi-projective R-module M, EndR (M) satisfies wsr1 condition if and only if M is a T-projective module. We prove that wsr1 condition is left-right symmetric. For von Neumann regular ring R, R satisfies wsr1 if and only if R is one-sided unit regular.
基金
国家自然科学基金