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Derivations in power-associative algebras

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  • In this paper we investigate derivations of a commutative power-associative algebra. Particular cases of stable and partially stable algebras are inspected. Some attention is paid to the Jordan case. Further results are given. Especially, we show that the core of a $n^{th}$-order Bernstein algebra which is power-associative is a Jordan algebra.
    Mathematics Subject Classification: Primary: 17A05, 17D92; Secondary: 17A36.


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