On solvable \(Z_3\)-graded alternative algebras

Maxim Goncharov

Abstract


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

Keywords


alternative algebra, solvable algebra, $Z_3$-graded

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