On the Prime and Primary Ideals

Abstract

본 논문에서는 여러모로 ideal론에 중요한 역할을 하는 어떤 ideal의 radical과 primary ideal및 일반적인 계산에서 소수의 거듭제곱과 비슷한 역할을 하는 primary ideal과 prime ideal의 몇가지 성질을 규명하고져 한다.

In this paper, we discuss the relationship between a prime ideal and a nil radical of an ideal in a commutative ring with unity and also some properties of primary ideals that a role analogous to the powers of prime number in ordinary arithemetics.

In this paper, we discuss the relationship between a prime ideal and a nil radical of an ideal in a commutative ring with unity and also some properties of primary ideals that a role analogous to the powers of prime number in ordinary arithemetics.