On Lie solvable restricted enveloping algebras.

DOI10.1016/j.jalgebra.2007.03.032zbMath1162.16011OpenAlexW1999713865WikidataQ115351463 ScholiaQ115351463MaRDI QIDQ2382983

Salvatore Siciliano

Publication date: 5 October 2007

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2007.03.032

zbMATH Keywords

enveloping algebrasrestricted Lie algebrasLie derived lengths

Mathematics Subject Classification ID

Group rings (16S34) Universal enveloping (super)algebras (17B35) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60) Universal enveloping algebras of Lie algebras (16S30)

Related Items (7)

Identities in group rings, enveloping algebras and Poisson algebras ⋮ Derived lengths of symmetric Poisson algebras ⋮ Lie structure of truncated symmetric Poisson algebras ⋮ Restricted enveloping algebras with minimal Lie derived length ⋮ Lie solvable enveloping algebras of characteristic two ⋮ Lie structure of smash products ⋮ Solvable symmetric Poisson algebras and their derived lengths

Cites Work

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• On the Lie ideals of a ring
• Lie centrally metabelian group rings
• The Lie structure of enveloping algebras
• A note on Lie centrally metabelian group algebras
• Lie identities for Hopf algebras
• Lie metabelian restricted universal enveloping algebras.
• Lie centrally metabelian group rings in characteristic 3
• Group Algebras with Minimal Strong Lie Derived Length
• The Derived Length of Lie Soluble Group Rings II
• HYPERCENTRAL ENVELOPING ALGEBRAS ARE LIE NILPOTENT
• Restricted Lie Algebras and Their Envelopes
• Lie Nilpotency Indices of Restricted Universal Enveloping Algebras

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