Cotorsion pairs associated with Auslander categories (Q2655783)

\textit{L. W.\ Christensen} [Trans.\ Am.\ Math.\ Soc.\ 353, 1839--1883 (2001)] extended the notion of semidualizing modules to complexes. By \textit{L. L.\ Avramov} and \textit{H.-B.\ Foxby} [Proc.\ Lond. Math.\ Soc., III. Ser. 75, No. 2, 241--270 (1997; Zbl 0901.13011)], and \textit{L. W.\ Christensen} [Trans.\ Am.\ Math.\ Soc.\ 353, No. 5, 1839--1883 (2001; Zbl 0969.13006)] a semidualizing module or complex \(C\) (over a commutative noetherian ring) gives rise to Auslander class \(\mathcal{A}_C\) and Bass class \(\mathcal{B}_C\). The authors concentrate with what covering and enveloping properties \(\mathcal{A}_C\) and \(\mathcal{B}_C\) possess. In particular, the Bass class determined by a semidualizing module is preenveloping.