摘要
设N是零对称的素拟环,证明了:(ⅰ)若N是2-挠自由的,d1,d2是N上的两个导子,则下列3条件等价:(1)d1d2是一个导子;(2)d1(x)d2(y)+d2(x)d1(y)=0,x,y∈N;(3)d1=0或d2=0.(ⅱ)设N是挠自由的,若N容纳两个非零导子d1,d2,使得[d1(x),d2(y)]=0,x,y∈N,则N不能容纳任何非零的幂零导子.
The properties of metapositive definite complex matrices are discussed. The paper includes theorems such as the one that the real parts of the sub - characteristic values belonged to an n - square metapositive definite complex matrix are positive,and that if JA is a normal composite matrix,then A is a meatpositive definite complex matrix if and only if the real part of the sub - characteristic value belonged to A is real. On the conclusion paper has proved that the matrix is a series of sufficient conditons of metapositive definite complex matrix.
出处
《湖北大学学报（自然科学版）》
CAS
北大核心
2005年第3期204-207,共4页
Journal of Hubei University：Natural Science
基金
湖北省教育厅自然科学基金资助课题
怀化学院资助科研项目
关键词
素拟环
导子
挠自由的
2-挠自由的
零对称的
sub - transpositive matrix
meta - hermite matrix
metapositive definite complex matrix
subcharacteristic value
