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ON NONCOMMUTATIVE VNL-RINGS AND GVNL-RINGS

Published online by Cambridge University Press:  24 March 2006

WEIXING CHEN  and
WENTING TONG
WEIXING CHEN
Affiliation:
School of Mathematics and Information Science, Shandong Institute of Business and Technology, Yantai 264005, P.R. China e-mail: wxchen5888@163.com
WENTING TONG
Affiliation:
Department of Mathematics, Nanjing University, Nanjing 210093, P.R. China e-mail: wttong@nju.edu.cn
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Abstract

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It is proved that every abelian VNL-ring is an SVNL-ring, which gives a positive answer to a question of Osba et al. [7]. Some characterizations of duo VNL-rings are given and some main results of Osba et al. [7] on commutative VNL-rings are extended to right duo VNL-rings and even abelian GVNL-rings.

Keywords

16D2516E50
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 48 , Issue 1 , January 2006 , pp. 11 - 17
Copyright
2006 Glasgow Mathematical Journal Trust