ON ANTISIMPLE GAMMA RINGS
作者:
G.L. Booth,
期刊:
Quaestiones Mathematicae
(Taylor Available online 1988)
卷期:
Volume 11,
issue 1
页码: 7-15
ISSN:1607-3606
年代: 1988
DOI:10.1080/16073606.1988.9631940
出版商: Taylor & Francis Group
关键词: 16A78;16A12;16A21;16A42
数据来源: Taylor
摘要:
In this note, we define the antisimple radical, A(M), of a Γ-ring M. A(M) is shown to be a special radical, and two characterizations of antisimple rings due to Szész are extended to Γ-rings. If R is the right operator ring of M, then A(R)* = A(M), where A(R) is the antisimple radical of R. If m,n are positive integers, then A(Mmn) = (A(M))mn, where Mmndenotes the group m x n matrices over M, considered as a Γnm-ring with the operations of matrix addition and multiplication.
点击下载:
PDF (222KB)
返 回