1. Complexes of FP-injective Modules.
- Author
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Yuxian Geng
- Subjects
- *
MATHEMATICAL complexes , *INJECTIVE modules (Algebra) , *LIE algebras , *NUMERICAL analysis , *RING theory - Abstract
In this paper, we study the class $\widetilde{\mathcal{FI}}$ of complexes of FP-injective left R-modules. It is shown that the pair $(^{\bot}\widetilde{\mathcal{FI}},\widetilde{\mathcal{FI}})$ is a complete cotorsion pair. If R is a left coherent ring, it is proved that every complex has an $\widetilde{\mathcal{FI}}$-cover. We also introduce the FP-injective dimension of complexes. A special attention is paid to the dimension of homologically bounded above R-complexes over a left coherent ring which has a nice functorial description. [ABSTRACT FROM AUTHOR]
- Published
- 2010
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