We study Kuzmin’s conjecture on the index of
nilpotency for the variety Nil5 of associative nil-algebras of de-
gree 5. Due to Vaughan-Lee the problem is reduced to that
for k-generator Nil5-superalgebras, where k ≤ 5. We confirm
Kuzmin’s conjecture for 2-generator superalgebras proving that
they are nilpotent of degree 15.
Статті IV International Algebraic Conference in Ukraine. This volume consists of papers presented at the IV International Algebraic Conference in Ukraine, which took place in Lviv (Lemborg) on August 4--9, 2003.
