摘要
本文将文献[3]的引理1推广到s-单式环上,并用迭代技术给出文献[4]的定理2一个简易的证明,将若干有1环的交换性定理推广到s-单式环上。
In this paper, we generalize Lemma l of [3] to s-unital rings. An easy and short proof for [4, Theorem 2] is given using the iteration technique. Further, the iteration technique has been also used to generalize some commutativity theorems for rings with unity I to s-unital rings.
出处
《吉林大学自然科学学报》
CSCD
1991年第3期37-41,共5页
Acta Scientiarum Naturalium Universitatis Jilinensis
关键词
S-单式环
交换环
有1环
扭自由环
s-unital rings, rings with unity, polynomial idcntity, torsion free rings, commutativity