On a class of finitary Lie algebras characterized through derivations

DOI10.1090/S0002-9939-2010-10644-5zbMath1228.17017OpenAlexW2035383386MaRDI QIDQ3065695

Matej Brešar, Antonio Fernández López

Publication date: 6 January 2011

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-2010-10644-5

zbMATH Keywords

derivationsimple Lie algebrafinite rankinner idealnonassociative algebrafinitary Lie algebra

Mathematics Subject Classification ID

Infinite-dimensional Lie (super)algebras (17B65) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40)

Cites Work

• Unnamed Item
• Unnamed Item
• The Lie inner ideal structure of associative rings
• Finitary simple Lie algebras
• On commutators and derivations in rings.
• The socle of a nondegenerate Lie algebra
• A Note on a Result of Kostrikin
• The Lie Inner Ideal Structure of Associative Rings Revisited
• On Inner Ideals and Ad-Nilpotent Elements of Lie Algebras
• The Lower Socle and Finite Rank Elementary Operators