CHARACTERIZING THE NIL RADICAL OF A GAMMA RING
作者:
G.L. Booth,
期刊:
Quaestiones Mathematicae
(Taylor Available online 1986)
卷期:
Volume 9,
issue 1-4
页码: 55-67
ISSN:1607-3606
年代: 1986
DOI:10.1080/16073606.1986.9632108
出版商: Taylor & Francis Group
关键词: 16878;16A48;16A21
数据来源: Taylor
摘要:
The nil radical, N(M) of a Γ-ring M was defined by Coppage and Luh [3], and shown by Groenewald [4] to be a special radical. We define s-prime ideals of M and show that N(M) is equal to the intersection of the s-prime ideals of M. If R is a ring, the nil radical of R considered as a Γ-ring with Γ = R is equal to the upper nil radical of R. We also give a sufficient condition for the equality N(R)* = N(M), where R is the right operator ring of M, and N(R) is its upper nil radical.
点击下载:
PDF (317KB)
返 回