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FP-INJECTIVE COMPLEXES AND FP-INJECTIVE DIMENSION OF COMPLEXES

Part of: Homological methods

Published online by Cambridge University Press:  25 August 2011

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

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In this paper we extend the notion of FP-injective modules to that of complexes and characterize such complexes. We show that some characterizations similar to those for injective complexes exist for FP-injective complexes. We also introduce and study the notion of an FP-injective dimension associated to every complex of left R-modules over an arbitrary ring. We show that there is a close connection between the FP-injective dimension of complexes and flat dimension.

Keywords

FP-injective complexFP-injective moduleFP-injective dimensionflat dimension

MSC classification

Secondary: 16E05: Syzygies, resolutions, complexes
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 91 , Issue 2 , October 2011 , pp. 163 - 187
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2011

Footnotes

Supported by National Natural Science Foundation of China (10961021).

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