素拟环上的幂零导子  

Nilpotent derivations on prime nearrings

作　　者：王学宽 王树桂[2] 吴毅清[2] 谢乐平[2] 

机构地区：[1]怀化学院数学系,湖南怀化418008 [2]湖北大学数学与计算机科学学院,湖北武汉430062

出　　处：《湖北大学学报（自然科学版）》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

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.

关 键 词：素拟环 导子 挠自由的 2-挠自由的 零对称的 

分 类 号：O153.3[理学—数学]