摘要
本文研究了正则环上模的幂消去，得到了幂消去的内直和刻划．建立了正则环上的幂比较结构，从而给出了正则环上幂消去。
In this paper, we study power cancellations of modules over regular rings and obtain the characterization of power cancellations on inner direct sums. Moreover, we set up the structures of power comparability over regular rings, and give the relations among power cancellation, weakly power cancellation and unit-regularity.
出处
《数学学报（中文版）》
SCIE
CSCD
北大核心
1997年第6期815-822,共8页
Acta Mathematica Sinica：Chinese Series
基金
国家自然科学基金
湖南省自然科学基金
关键词
幂消去
正则环
幂问题
交换环
Power cancellation, Power comparability, Unit-regularity
