On solvable \(Z_3\)-graded alternative algebras

• Datum: 2016
• 1. Verfasser: Goncharov, Maxim
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Lugansk National Taras Shevchenko University 2016
• Schlagworte: alternative algebra; solvable algebra; $Z_3$-graded
• Online Zugang: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/144
• Назва журналу: Algebra and Discrete Mathematics

Let \(A=A_0\oplus A_1\oplus A_2\) be an alternative \(Z_3\)-gradedalgebra.  The main result of the paper is the following: if \(A_0\) issolvable and the characteristic of the ground field not equal 2,3and 5, then \(A\) is solvable.