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
