On the image of the totaling functor
SMC Affiliated Work
School of Science
Communications in Algebra
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.
Derived category, Differential graded algebra, Totaling
Kristen Beck (Mathematics and Computer Science): “On the image of the totaling functor,” by Kristen Beck, in Communications in AlgebraVol. 43, no. 4, pp1640-1653 (2015). http://dx.doi.org/10.1080/00927872.2013.876032
Beck, Kristen. On the image of the totaling functor (2015). Communications in Algebra. 43 (4), 1640-1653. 10.1080/00927872.2013.876032 [article]. https://digitalcommons.stmarys-ca.edu/school-science-faculty-works/35