Two ideals of an algebra closely related to its Frattini ideal

DOI10.1007/BF01235327zbMath0414.17002OpenAlexW2037478384MaRDI QIDQ599154

David A. Towers

Publication date: 1980

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01235327

zbMATH Keywords

nonassociative algebraFrattini idealFrattini subalgebra

Mathematics Subject Classification ID

Structure theory for nonassociative algebras (17A60) Special subgroups (Frattini, Fitting, etc.) (20D25)

Related Items

The Frattini \(p\)-subsystem of a solvable restricted Lie triple system, Maximal subalgebras of Lie algebras containing Engel subalgebras, The Frattini subalgebra of restricted Lie superalgebras, Frattini Properties and Nilpotency in Leibniz Algebras, Frattini theory for restricted Lie algebras

Cites Work

• Pseudo-Frattini subgroups
• Frattini subalgebras of a class of solvable Lie algebras
• A Frattini Theory for Algebras
• Elementary Lie Algebras