Differential graded algebra mathematics , in particular abstract algebra and topology , a differential graded algebra graded algebra with an added chain complex structure that respects the algebra structure.Definition A differential graded algebra A is a graded algebra equipped with a map which has either degree 1 or degree that satisfies two conditions:monoid object in the monoidal category of chain complexes .algebra homomorphism which respects the differential d .differential graded augmented algebra is a DG-algebra equipped with a DG morphism to the ground ring.Warning: some sources use the term DGA for a DG-algebra.Examples of DG-algebras
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