Differential graded algebra
= Differential graded algebra
{title2=$(A,d),\quad d^2=0$}
A graded algebra equipped with a degree-one differential satisfying $d(ab)=d(a)b+(-1)^{|a|}a\,d(b)$ and $d^2=0$. Its <cohomology> inherits a graded algebra structure. In rational <homotopy>, a <Sullivan minimal model> is a free graded-commutative differential graded algebra with decomposable generator differentials.