Zhang, Chunxia; Que, Chunyue Foxby equivalences of Cartan-Eilenberg complexes. (English) Zbl 1449.16016 J. Zhejiang Univ., Sci. Ed. 46, No. 6, 660-665 (2019). Summary: Let \(R\) be a commutative Noetherian ring with a semi-dualizing module \(C\). We introduce CE (abbreviation for Cartan-Eilenberg) Auslander class CE-\({\mathcal{A}_c} (R)\) and CE Bass class CE-\({\mathcal{B}_c} (R)\), and extend the Foxby equivalence to the setting of CE complexes. MSC: 16D90 Module categories in associative algebras 16E05 Syzygies, resolutions, complexes in associative algebras Keywords:CE complex; semi-dualizing module; Auslander class; Bass class PDFBibTeX XMLCite \textit{C. Zhang} and \textit{C. Que}, J. Zhejiang Univ., Sci. Ed. 46, No. 6, 660--665 (2019; Zbl 1449.16016)