Indecomposable quotient of an augmented algebra ($Q(A)=A^{+}/(A^{+}{)}^2$)

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.