Посилання:On solvable Z₃-graded alternative algebras / M. Goncharov // Algebra and Discrete Mathematics. — 2015. — Vol. 20, № 2. — С. 203-216. — Бібліогр.: 15 назв. — англ.
Підтримка:The author is grateful to Prof. I. Shestakov for his attention to this work. The author would also like to gratitude the University of Sao Paulo and Sao Paulo research foundation (FAPESP) for hostility and funds that enabled the author to make this article.The author was supported by FAPESP(2013/02039-1) and by RFFI(12-01-33031).
Let A=A₀⊕A₁⊕A₂ be an alternative Z₃-graded
algebra. The main result of the paper is the following: if A0 is
solvable and the characteristic of the ground field not equal 2,3
and 5, then A is solvable.