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GROUP ACTIONS ON VON NEUMANN REGULAR RINGS
引用本文:Zhang Yinhuo. GROUP ACTIONS ON VON NEUMANN REGULAR RINGS[J]. 数学年刊B辑(英文版), 1994, 15(2): 235-240
作者姓名:Zhang Yinhuo
作者单位:Institute of Mathematics,Fudan University,Shanghai 200433,China
摘    要:GROUPACTIONSONVONNEUMANNREGULARRINGS¥ZHANGYINHUOAbstract:LetAbearingwithindentity,GafinitegroupofautomorphismsofA.Themainresu...

关 键 词:冯诺伊曼正则环    自同构  展开形式
收稿时间:1991-07-22

GROUP ACTIONS ON VON NEUMANN REGULAR RINGS
Zhang Yinhuo. GROUP ACTIONS ON VON NEUMANN REGULAR RINGS[J]. Chinese Annals of Mathematics,Series B, 1994, 15(2): 235-240
Authors:Zhang Yinhuo
Affiliation:InstituteofMathematics,FudanUniversity,Shanghai200433,China
Abstract:Let A be a ring with indentity, G a finite group of automorphisms of A. The main result of this paper is that A/AG is Galois if and only if it is Frobenius and the module AGA (or AAG)is faithful. Moreover if |G| is invertible the author improves [2, Theorem 8] and [3, Theorem 8].
Keywords:Von Neumann regular ring   Extension   Group   Automorphism.
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