摘要
文中的环均指有单位元的交换环，定义了素理想的特征数，讨论了它的基本性质，刻画了素理想的特征数与环的特征数的关系；给出了特征数有限的环的分解定理的一种新证法。
Rings considered in the paper are commutative rings with identity. Thecharacteristic number of prime ideal is defined some properties are given,The relationshipbetween the characteristic number of ring and of prime ideal and present a new proof of thedecomposition theorem of the ring with finite characteristic number is also well described.
出处
《山东师范大学学报（自然科学版）》
CAS
1995年第3期257-259,共3页
Journal of Shandong Normal University(Natural Science)
关键词
交换环
特征数
素理想
环
分解定理
commutative ring
characteristic number
prime ideal
prime number
