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FP-INJECTIVE COMPLEXES AND FP-INJECTIVE DIMENSION OF COMPLEXES

Published online by Cambridge University Press:  25 August 2011

ZHANPING WANG*
Affiliation:
Department of Mathematics, Northwest Normal University, Lanzhou 730070, PR China (email: [email protected])
ZHONGKUI LIU
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 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.

MSC classification

Type
Research Article
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2011

Footnotes

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

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