Flexible power-associative algebras of degree 1.
It is shown here that there are essentially two different types of simple flexible, strictly power-associative finite dimensional algebras of degree 1; namely, the fields and the algebras of Kokoris. This follows readily from the perhaps more basic result that characterizes the simple commutative power-associative finite dimensional algebras of degree 1 as fields.
DEPARTMENT OF MATHEMATICS, UNIVERSITY OF IOWA, IOWA CITY.
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Oehmke