Abstract:We introduce and study a class of objects that encompasses Christensen and Foxby’s semidualizing modules and complexes and Kubik’s quasi-dualizing modules: the class of [Formula: see text]-adic semidualizing modules and complexes. We give examples and equivalent characterizations of these objects, including a characterization in terms of the more familiar semidualizing property. As an application, we give a proof of the existence of dualizing complexes over complete local rings that does not use the Cohen Stru… Show more
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