摘要
I-提升模的直和不一定是I-提升模.本文给出了使I-提升模的直和仍是I-提升模成立的条件,即证明了当M=M1⊕M2,其中M1和M2是I-提升的.如果Mi是Mj-投射的(i,j=1,2)或M是duo模,则M是I-提升的.
As is well known, the finite direct sums of I-lifting modules may not be I-lifting modules. In this paper, we give some conditions such that finite direct sums Namely, we prove that when M = M1 ＋ M2, where M1 and M2 or M is a duomodule, then M is I-lifting of I-lifting modules are I-lifting. If Mi are still I-lifting modules is My-projective （i, j = 1, 2）
出处
《纯粹数学与应用数学》
CSCD
2013年第1期106-110,共5页
Pure and Applied Mathematics
