= Commutative differential graded algebra
= CDGA
{c}
{synonym}
A commutative <differential graded algebra> has multiplication $ab=(-1)^{|a||b|}ba$ and a degree-one differential with $d^2=0$ and $d(ab)=d(a)b+(-1)^{|a|}a\,d(b)$. Over $\mathbb Q$, its free algebra on graded generators is polynomial on even-degree generators and exterior on odd-degree generators. Rational <rational polynomial differential forms> on a space supply such an algebra, modelled up to <quasi-isomorphism> by a <Sullivan minimal model>.
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