nLab dgcAlg

Idea

The category $dgcAlg$ whose objects are differential graded-commutative algebras and whose morphisms are homomorphisms between these (i.e. algebra homomorphisms that respect the grading and the differential).

Properties

Model structure

• model structure on dgc-algebras

Full subcategories

Important full subcategories include thos of

• connective dgc-algebras $dgcAlg_{\geq 0}$ which are concentrated in non-positive degree;

• semifree dgc-algebras, equivalently Chevalley-Eilenberg algebras of L-infinity algebras

Related concepts

• Alg, Mod

• rational homotopy theory

• monoidal Dold-Kan correspondence

• Lie integration

References

See the references at model structure on dgc-algebras.

category: category