Title

Flexible Algebras of Degree Two

Authors

Joseph H. Mayne, Loyola University ChicagoFollow

Document Type

Article

Publication Date

10-1972

Publication Title

Transactions of the American Mathematical Society

Volume

172

Abstract

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.

Comments

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, http://dx.doi.org/10.2307/1996333

Recommended Citation

Mayne, JH. "Flexible Algebras of Degree Two." Transactions of the American Mathematical Society 172, 1972.

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Copyright Statement

© American Mathematical Society, 1972.