Indecomposable quotient of an augmented algebra
= Indecomposable quotient of an augmented algebra
{title2=$Q(A)=A^+/(A^+)^2$}
For an augmented graded algebra $A$, its positive augmentation ideal $A^+$ has indecomposable quotient $Q(A)=A^+/(A^+)^2$. For a <Sullivan minimal model> $(\Lambda V,d)$, this quotient is $V$ with zero differential because every $dv$ is decomposable. The map $H^+(\Lambda V,d)\to V$ induced by projection is dual to the rational <Hurewicz homomorphism> under the finite-type model identification.