On commutative nilalgebras of low dimension

• Datum: 2018
• 1. Verfasser: Fernandez, Juan C. Gutierrez
• Format: Artikel
• Sprache: English
• Veröffentlicht: Lugansk National Taras Shevchenko University 2018
• Schlagworte: solvable; commutative; nilalgebra; 17A05,17A30
• Online Zugang: 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.