广义拟内射模的自同态环(英文)

Endomorphism Rings of Generalized Quasi-Injective Modules

中文摘要:

      本文的目的,是推广[1]中定理1.22和[2]中命题1(1).我们得到:设R是环,且Q=End_R(M),其中M是广义拟内射模.那么有(1)J(Q)=Z(Q);(2)Q/J(Q)是Von Neumann正则环.

英文摘要:

      The purpose of this paper is to generalize ([1], Theorem 1.22) and ([2] , Proposition 1(1)). We obtain;Let R be a ring, and let Q=End_R(M), where M is a generalized quasi-injective left R-module. Then( 1 ) J(Q) =Z(Q);( 2 ) Q/J(Q) is a Von Neumann regular ring.