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Full-Text Articles in Physical Sciences and Mathematics

Flexible Algebras Of Degree Two, Joseph H. Mayne Oct 1972

Flexible Algebras Of Degree Two, Joseph H. Mayne

Mathematics and Statistics: Faculty Publications and Other Works

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.


The Myhill Functor, Input-Reduced Machines, And Generalised Krohn-Rhodes Theory, Robert H. Yacobellis Jan 1972

The Myhill Functor, Input-Reduced Machines, And Generalised Krohn-Rhodes Theory, Robert H. Yacobellis

Computer Science: Faculty Publications and Other Works

No abstract provided.