Hostname: page-component-8448b6f56d-dnltx Total loading time: 0 Render date: 2024-04-23T09:43:33.627Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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