SOLVABILITY OF COMMUTATIVE POWER-ASSOCIATIVE NILALGEBRAS OF NILINDEX 4 AND DIMENSION

摘要

Let A be a commutative power-associative nilalgebra: In this paper we prove that when A (of characteristic ≠ 2) is of dimension A; then ((A2)2)2 = 0: That is, A is solvable. We conclude that if A is of dimension