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Complexes of FP-injective Modules.
- Source :
-
Algebra Colloquium . Dec2010, Vol. 17 Issue 4, p667-684. 18p. - Publication Year :
- 2010
-
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]
Details
- Language :
- English
- ISSN :
- 10053867
- Volume :
- 17
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Algebra Colloquium
- Publication Type :
- Academic Journal
- Accession number :
- 54005368
- Full Text :
- https://doi.org/10.1142/S1005386710000647