The Lie Structure of a Commutative Ring with a Derivation

DOI10.1112/jlms/s2-18.1.39zbMath0406.16022OpenAlexW2007067111MaRDI QIDQ4192215

Camilla Rosalind Jordan, David A. Jordan

Publication date: 1978

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/jlms/s2-18.1.39

zbMATH Keywords

DerivationD-Prime IdealsLie SubringsPrime Lie IdealsPrime Lie Rings

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Automorphisms and endomorphisms (16W20) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Morphisms of commutative rings (13B10) Modules of differentials (13N05)

Related Items

Simple Derivations of Graded Affine Algebras in Positive Characteristic, Prime Lie Rings of Derivations of Commutative Rings II, Differential and difference algebra, Rings with simple Lie rings of Lie and Jordan derivations, Non-associative structures of commutative algebras related with quadratic Poisson brackets, Examples of Lie and Balinsky-Novikov algebras related to Hamiltonian operators, Semiprime Lie Rings of (Anti-)Symmetric Derivations of Commutative Rings, Lie rings of (anti-)symmetric derivations of commutative rings, On the Ideals of a Lie Ring of Derivations, The Lie structure of a commutative ring with a derivation