摘要
In commutative algebra, there is a commonly used proposition: let A=k[x 1,...,x n] be a polynomial algebra on a field k, and 0P 1P 2...P d a prime ideal chain of A in which no extra prime ideal can be inserted, then d=n. In this paper, the authors give a simple proof of it.
In commutative algebra, there is a commonly used proposition: let A=k[x 1,...,x n] be a polynomial algebra on a field k, and 0P 1P 2...P d a prime ideal chain of A in which no extra prime ideal can be inserted, then d=n. In this paper, the authors give a simple proof of it.
出处
《四川大学学报（自然科学版）》
CAS
CSCD
北大核心
2002年第2期365-366,共2页
Journal of Sichuan University(Natural Science Edition)
关键词
交换代数
多项多代数
素理想
素理想链
整环
极大理想
命题证明
prime ideal chain in which no extra prime ideal can be inserted
finitely-generated algebra
integrality
dimension
