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
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