Examples of DGAs
- The Koszul complex is a DGA.
- The Tensor algebra is a DGA with differential similar to that of the Koszul complex.
- The Singular cohomology with coefficients in a ring is a DGA; the differential is given by the Bockstein homomorphism, and the product given by the cup product.
- Differential forms on a manifold, together with the exterior derivation and the wedge-product form a DGA.
Read more about this topic: Differential Graded Algebra
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“Histories are more full of examples of the fidelity of dogs than of friends.”
—Alexander Pope (1688–1744)