Differential graded module

In algebra, a differential graded module, or dg-module, is a $\mathbb {Z}$-graded module together with a differential; i.e., a square-zero endomorphism of the module.

In view of the Dold–Kan correspondence, the notion of a $\mathbb {N} _{0}$-graded dg-module is equivalent to that of a commutative simplicial module ("equivalent" in the sense those two notions form equivalent categories).

See also

• Differential graded Lie algebra

References

• http://arxiv.org/abs/math/0602344
• http://math.univ-lille1.fr/~fresse/OperadHomotopyBook/ModuleHomotopy.pdf