Frattini theory for \(N\)-Lie algebras

• Дата: 2018
• Автор: Williams, Michael Peretzian
• Формат: Стаття
• Мова: English
• Опубліковано: Lugansk National Taras Shevchenko University 2018
• Теми: Lie algebras; non-associative algebras; 15 Linear and multilinear algebra; matrix theory; 17 Nonassociative rings and algebras
• Онлайн доступ: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/781
• Назва журналу: Algebra and Discrete Mathematics

We develop a Frattini Theory for \(n\)-Lie algebras by extending theorems of Barnes' to the \(n\)-Lie algebra setting. Specifically, we show some sufficient conditions for the Frattini subalgebra to be an ideal and find an example where the Frattini subalgebra fails to be an ideal.