COMPOSITION OF POLYNOMIALS OVER A FIELD

• 발행기관: 충청수학회
• 저자명: Eun Mi Choi
• 간행물 정보: 『Journal of the Chungcheong Mathematical Society』Volume 22, No. 3, 497~506쪽, 전체 10쪽
• 주제분류: 자연과학 > 자연과학일반
• 파일형태: PDF
• 발행일자: 2009.09.30

영문 초록

This work studies about the composition polynomial f(g(x)) that preserves certain properties of f(x) and g(x). We shall investigate necessary and su±cient conditions of f(x) and g(x) to be f(g(x)) is separable, solvable by radical or split completely. And we ¯nd relationship of Galois groups of f(g(x)), f(x) and of g(x).

목차

1. Introduction

2. Separability and solvability of composition

3. Galois group of composite polynomials

References