%0 Journal Article %T The Filtration Induced by a Locally Nilpotent Derivation %A Bachar Alhajjar %J Mathematics %D 2013 %I arXiv %X We investigate the filtration corresponding to the degree function induced by a non-zero locally nilpotent derivations and its associated graded algebra. As an application we provide an efficient method to recover the Makar-Limanov invariants, isomorphism classes and automorphism groups of classically known algebras. We also present a new class of examples which can be fully described with this method. %U http://arxiv.org/abs/1310.3784v1