On commutative nilalgebras of low dimension

• Published in: Algebra and Discrete Mathematics
• Date: 2010
• Main Author: Gutierrez Fernandez, J.C.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2010
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/154497
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On commutative nilalgebras of low dimension / J.C. Gutierrez Fernandez // Algebra and Discrete Mathematics. — 2010. — Vol. 9, № 1. — С. 16–30. — Бібліогр.: 13 назв. — англ.

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