矩阵环的欧拉恒等式  

Eulerian identities on matrix rings

作　　者：曹明[1] 冯怡君[1] 魏亚萍[1] 游松发[1] 

机构地区：[1]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）》2013年第3期265-269,共5页Journal of Hubei University：Natural Science

摘　　要：由简单的欧拉图构造一类多重线性多项式,称作欧拉多项式,并探讨这些多项式成为矩阵环的恒等式的条件,PI-理论中著名的Amitsur-Levitzki定理和Chang-Giambruno-Sehgal定理是本文结果的直接推论.A class of multilinear called Eulerian polynomials were constructed from extremely simple Eulerian graphs.The conditions of these polynomial identities on matrix ring were investigated.Famous Amitsur-Levitzki theorem and Chang-Giambruno-Sehgal theroem in PI-theory were the immediate consequences of the conclusion.

关 键 词：欧拉图 欧拉路 矩阵单位替换 欧拉多项式 

分 类 号：O153.3[理学—数学]