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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.


Author Posting. © American Mathematical Society, 1972. This article is posted here by permission of the American Mathematical Society for personal use, not for redistribution. The article was published in Transactions of the American Mathematical Society, Volume 172, October 1972,

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