# Differential-algebra(2)

From Encyclopedia of Mathematics

An algebra over a field (ring) which is a differential ring and such that, moreover, any derivation commutes with multiplications by elements of , i.e. , where , .

#### Comments

Cf. also Derivation in a ring. A differential graded algebra (or DGA) over a ring is a graded algebra equipped with a graded -module homomorphism of degree such that and such that is a derivation in the graded sense, i.e. such that . They are of importance in (co)homology theory.

#### References

[a1] | S. MacLane, "Homology" , Springer (1963) |

**How to Cite This Entry:**

Differential-algebra(2).

*Encyclopedia of Mathematics.*URL: http://encyclopediaofmath.org/index.php?title=Differential-algebra(2)&oldid=15881

This article was adapted from an original article by O.A. Ivanova (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article