  This paper studies nonassociative filtered rings using associated gradations.
We show that a complete filtered ring $R$ with affine associated graded ring
generated in degree $1$ is a local ring, and prove that the Artin--Rees lemma
holds for $R$. Assuming finiteness of the residue field, we derive asymptotics
for abelian groups with an operation of $R$, and identify classes of torsion
elements for spaces over a central extension of $R$.
