摘要
本文给出半群环ＲＳ（其中：Ｒ为环，Ｓ为半群）为预布尔环的条件为：环Ｒ为指数３的幂零环，且Ｓ为任一可交换半群；或者Ｒ为指数３的预布尔非幂零环，且Ｓ为预布尔半群．
This paper brings out a necessary and a sufficient condition for a semi-group ring RS, where R is a ring and S a semi-group to be a pre-Boolean ring as 'The semi-group ring RS is a pre-Boolean Ring if either the ring R is ni1potent of index 3 and S any commutative semi-group or the ring, R is pre-Boolean non-nilpotent or index 3 and S is a pre-Boolean semi-group'.
出处
《福州大学学报（自然科学版）》
CAS
CSCD
1992年第1期6-8,共3页
Journal of Fuzhou University(Natural Science Edition)
关键词
半群环
预布尔环
可交换半群
semi-group rings
pre-Boolean rings
commutative semi-group
Nilpotent rings
