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FP-INJECTIVE COMPLEXES AND FP-INJECTIVE DIMENSION OF COMPLEXES
Published online by Cambridge University Press: 25 August 2011
Abstract
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.
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- Research Article
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- Copyright © Australian Mathematical Publishing Association Inc. 2011
Footnotes
Supported by National Natural Science Foundation of China (10961021).
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