Simple Lie Rings of Derivations of Commutative Rings

DOI10.1112/jlms/s2-18.3.443zbMath0404.17009OpenAlexW2006556436MaRDI QIDQ4189406

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/s2-18.3.443

zbMATH Keywords

Commutative Free RingK- DerivationsLie Ring of DerivationsModular Lie AlgebrasSimple Lie Ring

Mathematics Subject Classification ID

Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60)

Related Items (15)

Prime Lie Rings of Derivations of Commutative Rings II ⋮ Automorphisms of the Lie algebra of vector fields on affine \(n\)-space ⋮ Compact lie rings ⋮ Differential and difference algebra ⋮ On the structure of the graded Lie algebra associated with a noncontractible filtration ⋮ Prime Lie rings of derivations of commutative rings in characteristic 2 ⋮ ℒ-Prime Rings Need Not Be Primary ⋮ Nonassociative rings ⋮ Simple Lie algebras of special type ⋮ Semiprime Lie Rings of (Anti-)Symmetric Derivations of Commutative Rings ⋮ Lie rings of (anti-)symmetric derivations of commutative rings ⋮ Sets of Commuting Derivations and Simplicity ⋮ On the simplicity of Lie algebras of derivations of commutative algebras ⋮ Prime Lie Rings of Derivations of Commutative Rings ⋮ The Lie structure of a commutative ring with a derivation

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