Transactions of the American Mathematical Society
All known examples of simple flexible power-associative algebras of degree two are either commutative or noncommutative Jordan. In this paper we construct an algebra which is partially stable but not commutative and not a noncommutative Jordan algebra. We then investigate the multiplicative structure of those algebras which are partially stable over an algebraically closed field of characteristic p A 2, 3, 5. The results obtained are then used to develop conditions under which such algebras must be commutative.
Mayne, JH. "Flexible Algebras of Degree Two." Transactions of the American Mathematical Society 172, 1972.
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© American Mathematical Society, 1972.