G-morphic群环(英文)  

G-Morphic Group Rings

作　　者：徐雪琴[1] 储茂权[1] 

机构地区：[1]安徽师范大学数学计算机科学学院,安徽芜湖241000

出　　处：《安徽师范大学学报（自然科学版）》2008年第4期314-316,共3页Journal of Anhui Normal University(Natural Science)

基　　金：Supported by Natural Science of Education Department of Anhui Province(KJ2008A026)

摘　　要：本文讨论了左G-morphic群环RG的性质,主要证明了以下结果:设R是一个环,G是一个局部有限群,如果群环RG是左G-morphic环,那么R是左G-morphic环;如果对G的每个有限子群H,群环RH是左G-morphic环,那么群环RG是左G-morphic环.In this paper, we mainly discuss the properties of the left G-morphic group ring RG. The following results have been given： let R be a ring and G be a locally finite group, if the group ring RG is a left G-morphic ring, then R is a left G-morphic ring; if the group ring RH is a left G-morphic ring for every finite subgroup H of G, then the group ring RG is a left G-morphic ring.

关 键 词：群环 G-MORPHIC环 局部有限群 单位π-正则环 

分 类 号：O153.3[理学—数学]