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GORENSTEIN PROJECTIVE, INJECTIVE AND FLAT MODULES

Part of: Homological methods

Published online by Cambridge University Press:  15 December 2009

ZHONGKUI LIU  and
XIAOYAN YANG
ZHONGKUI LIU
Affiliation:
Department of Mathematics, Northwest Normal University, Lanzhou 730070, PR China (email: liuzk@nwnu.edu.cn)
XIAOYAN YANG*
Affiliation:
Department of Mathematics, Northwest Normal University, Lanzhou 730070, PR China (email: yxy800218@163.com)
*
✉For correspondence; e-mail: yxy800218@163.com
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Abstract

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In basic homological algebra, projective, injective and flat modules play an important and fundamental role. In this paper, we discuss some properties of Gorenstein projective, injective and flat modules and study some connections between Gorenstein injective and Gorenstein flat modules. We also investigate some connections between Gorenstein projective, injective and flat modules under change of rings.

Keywords

Gorenstein projective moduleGorenstein injective moduleGorenstein flat modulechange of ring

MSC classification

Secondary: 16E30: Homological functors on modules (Tor, Ext, etc.)
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 87 , Issue 3 , December 2009 , pp. 395 - 407
Copyright
Copyright © Australian Mathematical Publishing Association, Inc. 2009

Footnotes

Research supported by National Natural Science Foundation of China, TRAPOYT and the Cultivation Fund of Key Scientific and Technical Innovation Project, Ministry of Education of China.

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