Vol. 51, No. 1, 1974

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Associators in simple algebras

Samuel R. Gordon

Vol. 51 (1974), No. 1, 131–141
Abstract

In this paper it is shown that, with suitable hypotheses on the base field, any element of generic trace zero in an octonion algebra is a commutator and an associator, and any element of generic trace zero in a simple Jordan algebra is an associator.

Mathematical Subject Classification 2000
Primary: 17C20
Milestones
Received: 29 November 1972
Published: 1 March 1974
Authors
Samuel R. Gordon