多项式环上n×n矩阵半群的积性函数  

On Multiplicative Function of n × n Matrix Semigroups over Polynomial Rings

作　　者：芮昌祥[1] 

机构地区：[1]云南大学数学系

出　　处：《云南大学学报（自然科学版）》1993年第3期275-277,共3页Journal of Yunnan University(Natural Sciences Edition)

摘　　要：设F是任意域,M_n(x)表示多项式环F〔x〕上n×n矩阵半群。本文决定了全部从M_n(x)到F〔x〕的半群乘法同态,亦即M_n(x)的全部积性函数。Let F denote any field, Mn(x) denote n × n matrix semigroup over F [x] the polynomial ring, we call φ is a multiplicative function from Mn(x) to F [x], if φ (A(x)B(x)) = φ(A(x))<p(B(x)) for any A(x) and B(x) in Mn(x). In this paper, we show all forms of φ are φ(A(x)) - (detA(x))σ, where a is a multiplictive endmorphism of F[x]

关 键 词：多项式环 矩阵半群 积性函数 

分 类 号：O152.7[理学—数学]