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On the Image of the Totaling Functor
Authors:Kristen A Beck
Institution:1. Department of Mathematics , University of Arizona , Tucson , Arizona , USA kbeck@math.arizona.edu
Abstract:Let A be a differential graded (DG) algebra with a trivial differential over a commutative unital ring. This paper investigates the image of the totaling functor, defined from the category of complexes of graded A-modules to the category of DG A-modules. Specifically, we exhibit a special class of semifree DG A-modules which can always be expressed as the totaling of some complex of graded free A-modules. As a corollary, we also provide results concerning the image of the totaling functor when A is a polynomial ring over a field.
Keywords:Derived category  Differential graded algebra  Totaling
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