称环R是Armendariz环,如果(∑mi=0aixi)(∑nj=0bjxj)=0∈R[x],那么aibj=0,其中0≤i≤m,0≤j≤n.称环R是半交换环,如果由ab=0,可得a......

A ring R is said to be π-semicommutative if a, b ∈ R satisfy ab = 0 then there exists a positive integer n such that a......