Title

On the image of the totaling functor

Status

Faculty

School

School of Science

Department

Math/Computer Science

Document Type

Article

Publication Date

2015

Publication Title

Communications in Algebra

Description/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

Volume

43

Issue

4

First Page

1640

Last Page

1653

Scholarly

yes

DOI

10.1080/00927872.2013.876032

Disciplines

Mathematics

Original Citation

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

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