论文信息 - Complexes of FP-injective Modules

Complexes of FP-injective Modules

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.

Yuxian Geng

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