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GORENSTEIN PROJECTIVE, INJECTIVE AND FLAT MODULES

Published online by Cambridge University Press:  15 December 2009

ZHONGKUI LIU
Affiliation:
Department of Mathematics, Northwest Normal University, Lanzhou 730070, PR China (email: [email protected])
XIAOYAN YANG*
Affiliation:
Department of Mathematics, Northwest Normal University, Lanzhou 730070, PR China (email: [email protected])
*
For correspondence; e-mail: [email protected]
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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.

Type
Research Article
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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