The Frattini Subsystem of a Lie Triple System

DOI10.1080/00927870802502936zbMath1205.17006OpenAlexW2139606659MaRDI QIDQ3646348

Liangyun Chen, Zhixue Zhang, Ximei Bai, Wen-li Liu

Publication date: 20 November 2009

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

Full work available at URL: https://doi.org/10.1080/00927870802502936

zbMATH Keywords

Lie triple systemFrattini subsystem

Mathematics Subject Classification ID

Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60) Ternary compositions (17A40)

Related Items

The Frattini \(p\)-subsystem of a solvable restricted Lie triple system, Some subsystems of a Lie triple system closely related to its Frattini subsystem, On -Jordan Lie triple systems, Unnamed Item, Derivations and deformations of \(\delta\)-Jordan Lie supertriple systems

Cites Work

• Unnamed Item
• Nilpotent ideals in Lie and anti-Lie triple systems
• Non-degenerate invariant bilinear forms on nonassociative triple systems
• The Frattini subalgebra of restricted Lie superalgebras
• The Frattini argument for Lie algebras
• Von Neumann regularity in Jordan triple systems
• The Frattini subalgebra of \(n\)-Lie algebras
• On Complemented Lie Algebras
• INVARIANT SYMMETRIC BILINEAR FORMS ON LIE TRIPLE SYSTEMS
• The Frattini Subalgebra of a Lie Algebra
• A Frattini Theory for Algebras