Geodesic
The power equation
The electronic journal of linear algebra, Tome 22 (2011), pp. 810-821.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: Let A be a power-associative algebra over a field F, either R or C. The purpose of this paper is to study real-valued solutions of the power equation on A, i.e., functions f : A $\rightarrow R$ which satisfy f (a k ) = f (a) k for all a $\in A$ and k = 1, 2, 3, . . .
Classification : 16B99, 17A05, 17A35, 17D05, 39B22
Keywords: power-associative algebras, the power equation 
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     author = {Goldberg, Moshe and Levy, Eliahu},
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Goldberg, Moshe; Levy, Eliahu. The power equation. The electronic journal of linear algebra, Tome 22 (2011), pp. 810-821. http://geodesic.mathdoc.fr/item/ELA_2011__22__a23/