摘要
本文主要研究Munn环和完全0-单半群环的弱正则性.本文讨论了当R是一个有单位元的环且I与Λ无限,或者R是一个强IBN且是一个有单位元的完全有限Dedekind环且或者I或者Λ有限时,Munn环M(R;I,Λ;P)的弱正则性.描述了一个完全0-单半群环S=M0(G;I;Λ;P)其半群环RS的弱正则性.
In this
paper,the weak regularity of Munn rings and completely 0 simple semigroup rings is
studied.When either R is a ring with identity and I and Λ are infinite,or R is a strong IBN
fully Dedekind finite ring with identity and either I or Λ is finite,the weak regularity of Munn
ring M(R;I,Λ;P) is characterized.For a completely 0 simple semigroup ring S=M 0(G;I;Λ;P),
the weak regularity of RS is characterized.The results on weak regularity are generalizations
of some important consequences on regularity in 1 .
出处
《浙江大学学报(理学版)》
CAS
CSCD
1999年第3期22-28,共7页
Journal of Zhejiang University(Science Edition)
关键词
Munn环
半群环
弱正则
Munn ring
semigroup ring
weak regularity