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Gorenstein projective and flat complexes over noetherian rings

Gorenstein projective and flat complexes over noetherian rings

Abstract We give sufficient conditions on a class of R ‐modules \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}$\mathcal {C}$\end{document} in order for the class of complexes of \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}$\mathcal {C}$\end{document} ‐modules, \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}$dw \mathcal {C}$\end{document} , to be covering in the category of complexes of R ‐modules. More precisely, we prove that if \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}$\mathcal {C}$\end{document} is precovering in …