
tive power-associative algebra of degree t> 2 over an algebraically closed field a of characteristic p> 5 is a Jordan algebra. Moreover, in the partially stable case, a characterization of the simple algebras of degree two is given by Albert in [3]. In his theory Albert expresses the structure of simple partially stable algebras in terms of certain commutative associative algebras 23 over a. These commutative associative algebras have unity elements, and each algebra Q3 is differentiably simple relative to some set of derivations of e3 over 0. In this paper we shall determine the structure of the algebras e and derive a property of simple partially stable algebras which follows from Albert's characterization. Let e3 be a commutative associative algebra with unity element e over
Automorphisms, derivations, other operators (nonassociative rings and algebras)
Automorphisms, derivations, other operators (nonassociative rings and algebras)
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