Gelfand-Kirillov dimension of algebras with locally nilpotent derivations.

DOI10.1007/s11856-015-1152-1zbMath1325.16020OpenAlexW2071465795MaRDI QIDQ2339614

Piotr Grzeszczuk, Jeffrey Bergen

Publication date: 2 April 2015

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11856-015-1152-1

zbMATH Keywords

prime algebrasskew polynomial ringslocally nilpotent derivationsGelfand-Kirillov dimension of algebras

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Actions of groups and semigroups; invariant theory (associative rings and algebras) (16W22) Growth rate, Gelfand-Kirillov dimension (16P90) Derivations, actions of Lie algebras (16W25) (T)-ideals, identities, varieties of associative rings and algebras (16R10)

Cites Work

• Unnamed Item
• The inversion formula for automorphisms of the Weyl algebras and polynomial algebras
• Radicals of crossed products of enveloping algebras
• On the Gelfand-Kirillov dimension of skew polynomial rings
• Rings of differential operators on curves.
• On irreducible modules over $q$-skew polynomial rings and smash products
• GOLDIE DIMENSION OF CONSTANTS OF LOCALLY NILPOTENT SKEW DERIVATIONS
• A note on GK dimension of skew polynomial extensions

This page was built for publication: Gelfand-Kirillov dimension of algebras with locally nilpotent derivations.