摘要
本文研究了一般半群环的右Artin性的刻划问题，改进了JanOkniski在[3]中的结果，并给出了半群环是右Artin环的刻划．最后进一步指出在一定条件下，R[S1]和R[S1]的链条件是等价的．
In this paper,the Chain conditions in semigroup rings are discussed.The characterization problems of Artinian semigroup rings are partly settled.We get a result which generalizes.Okniski's result in [3].Our main results are Theorem 4. Theorem 5.Theorem 6. Theorem 7 and Corollary 3.
出处
《数学研究》
CSCD
1997年第2期199-204,共6页
Journal of Mathematical Study
关键词
半群环
刻划
等价
一般
条件
问题
链条
semigroup ring
fight Artinian ring
right Artinian semigroup
the minimal commutive ideal
the commutative semigroup with property(Ⅰ)
