Flexible algebras of degree two
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- by Joseph H. Mayne PDF
- Trans. Amer. Math. Soc. 172 (1972), 69-81 Request permission
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 $p \ne 2,3,5$. The results obtained are then used to develop conditions under which such algebras must be commutative.References
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Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 172 (1972), 69-81
- MSC: Primary 17A20
- DOI: https://doi.org/10.1090/S0002-9947-1972-0311727-1
- MathSciNet review: 0311727