The Filtration Induced by a Locally Nilpotent Derivation

Bachar Alhajjar (1)

1 IMB - Institut de Mathématiques de Bourgogne [Dijon]

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.

Mots clés: Locally nilpotent derivation; Makar-Limanov invariant; filtration; graded algebra; semi-rigid ring

Domaines: Algèbre commutative [math.AC]

Bachar Alhajjar. The Filtration Induced by a Locally Nilpotent Derivation. 2013. ⟨hal-00872823⟩