  In this note we introduce the notion of a smooth structure on a conical
pseudomanifold $M$ in terms of $C^\infty$-rings of smooth functions on $M$. For
a finitely generated smooth structure $C^\infty (M)$ we introduce the notion of
the Nash tangent bundle, the Zariski tangent bundle, the tangent bundle of $M$,
and the notion of characteristic classes of $M$. We prove the vanishing of a
Nash vector field at a singular point for a special class of Euclidean smooth
structures on $M$. We introduce the notion of a conical symplectic form on $M$
and show that it is smooth with respect to a Euclidean smooth structure on $M$.
If a conical symplectic structure is also smooth with respect to a compatible
Poisson smooth structure $C^\infty (M)$, we show that its Brylinski-Poisson
homology groups coincide with the de Rham homology groups of $M$. We show
nontrivial examples of these smooth conical symplectic-Poisson pseudomanifolds.
