On commutative nilalgebras of low dimension

• Дата: 2018
• Автор: Fernandez, Juan C. Gutierrez
• Формат: Стаття
• Мова: English
• Опубліковано: Lugansk National Taras Shevchenko University 2018
• Теми: solvable; commutative; nilalgebra; 17A05,17A30
• Онлайн доступ: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/619
• Назва журналу: Algebra and Discrete Mathematics

We prove that every  commutative non-associative nilalgebra of dimension \(\leq 7\), over  a field of characteristic zero or sufficiently large  is solvable.