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A GENERALIZATION OF PP-RINGS AND p.q.-BAER RINGS

Published online by Cambridge University Press:  23 August 2006

LIU ZHONGKUI  and
ZHAO RENYU
LIU ZHONGKUI
Affiliation:
Department of Mathematics, Northwest Normal University, Lanzhou 730070, Gansu, People's Republic of China e-mail: liuzk@nwnu.edu.cn; renyuzhao026@sohu.com
ZHAO RENYU
Affiliation:
Department of Mathematics, Northwest Normal University, Lanzhou 730070, Gansu, People's Republic of China e-mail: liuzk@nwnu.edu.cn; renyuzhao026@sohu.com
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Abstract

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We introduce the concept of left APP-rings which is a generalization of left p.q.-Baer rings and right PP-rings, and investigate its properties. It is shown that the APP property is inherited by polynomial extensions and is a Morita invariant property.

Keywords

16D40
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 48 , Issue 2 , May 2006 , pp. 217 - 229
Copyright
2006 Glasgow Mathematical Journal Trust

Footnotes

Supported by National Natural Science Foundation of China (10171082), TRAPOYT and the Cultivation Fund of the Key Scientic and Technical Innovation Project, Ministry of Education of China.