On Rings with Locally Nilpotent Skew Derivations

DOI10.1080/00927872.2010.510816zbMath1244.16033OpenAlexW1974444078MaRDI QIDQ3113825

Piotr Grzeszczuk, Jeffrey Bergen

Publication date: 25 January 2012

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2010.510816

zbMATH Keywords

skew polynomial ringslocally nilpotent derivationsskew derivationslocalizations

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Derivations, actions of Lie algebras (16W25) Ore rings, multiplicative sets, Ore localization (16U20)

Related Items (6)

On skew derivations in semiprime rings ⋮ Locally nilpotent skew derivations with central invariants ⋮ Skew derivations on generalized Weyl algebras ⋮ GK DIMENSION AND LOCALLY NILPOTENT SKEW DERIVATIONS ⋮ Jacobson radicals of ring extensions. ⋮ GOLDIE DIMENSION OF CONSTANTS OF LOCALLY NILPOTENT SKEW DERIVATIONS

Cites Work

• The inversion formula for automorphisms of the Weyl algebras and polynomial algebras
• Generators and defining relations for ring of invariants of commuting locally nilpotent derivations or automorphisms

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