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]
出处
《云南大学学报（自然科学版）》
CAS
CSCD
1993年第3期275-277,共3页
Journal of Yunnan University(Natural Sciences Edition)
关键词
多项式环
矩阵半群
积性函数
polynomial ring, matrix semigroup, multiplicative function
