From Encyclopedia of Mathematics
Revision as of 17:14, 7 February 2011 by (talk) (Importing text file)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to: navigation, search

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 , .


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.


[a1] S. MacLane, "Homology" , Springer (1963)
How to Cite This Entry:
Differential-algebra(2). Encyclopedia of Mathematics. URL:
This article was adapted from an original article by O.A. Ivanova (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article