In algebra, a differential graded module, or dg-module, is a
In other words, it is a chain complex having a structure of a module, while a differential graded algebra is a chain complex with a structure of an algebra.
In view of the module-variant of Dold–Kan correspondence, the notion of an
Given a commutative ring R, by definition, the category of simplicial modules are simplicial objects in the category of R-modules; denoted by sModR.
Then sModR can be identified with the category of differential graded modules which vanish in negative degrees via the Dold-Kan correspondence.