Differential-algebra(2)
From Encyclopedia of Mathematics
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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