摘要
给出了将半群环的链条件转化为群环的链条件的一个定理,并由此将[1]中的结果推广到半群环的情形.
In this paper, we get a result which turns the chain conditions in semigroup rings into that in group rings. Then we use it to prove a characterization theorem of right Noetherian semigroup rings.
出处
《数学研究》
CSCD
1999年第3期292-294,共3页
Journal of Mathematical Study
关键词
半群环
群环
链条件
摹群
可逆元子群
Semigroup ring, Right Noetherian semigroup ring, Right Artinian semigroup ring, Left grouplike