Semi-Simple Artinian Rings of Fixed Points
- 1 June 1975
- journal article
- Published by Canadian Mathematical Society in Canadian Mathematical Bulletin
- Vol. 18 (2) , 189-190
- https://doi.org/10.4153/cmb-1975-037-9
Abstract
Let G be a finite group of automorphisms of the ring R, and let RG denote the ring of fixed points of G in R; that is, RG={x∊R|Xg = x,∀∊ G}. Let |G| denote the order of G. In this note, we prove the following:Theorem.Assume that R has no nilpotent ideals and no |G|-torsion. Then if RG is semi-simple Artinian, R is semi-simple Artinian.Keywords
This publication has 1 reference indexed in Scilit:
- Rings with Fixed-Point-Free Group ActionsProceedings of the London Mathematical Society, 1973