关于多项式与多项式函数相等的注记  

Notes on Equality as Polynomials and Polynomial Functions

作　　者：徐运阁 陈媛 XU Yun-ge;CHEN Yuan(Faculty of Mathematics and Statistics,Hubei Key Laboratory of Applied Mathematics, Hubei University,Wuhan 430062,China)

机构地区：[1]湖北大学数学与统计学学院应用数学湖北省重点实验室,武汉430062

出　　处：《大学数学》2018年第6期81-83,共3页College Mathematics

基　　金：湖北省高校省级教学改革研究项目(2017234)

摘　　要：给出了域上两个多项式作为多项式相等与作为多项式函数恒等的充要条件,引入有限域上约化多项式的概念,给出了有限域上多项式函数重根的定义及判定法则.A sufficient and necessary condition of the uniformity of the equality as polynomials and polynomial functions are proposed.Moreover,the concept of reduced polynomial over a finite field is introduced to define the multiple root of polynomial function over a finite filed,and a criterion is given.

关 键 词：多项式 多项式函数 约化多项式 重根 

分 类 号：O151.2[理学—数学]