Power-associative evolution algebras

Published 24 Dec 2018 in math.RA | (1812.09986v1)

Abstract: The paper is devoted to the study of evolution algebras that are power-associative algebras. We give the Wedderburn decomposition of evolution algebras that are power-associative algebras and we prove that these algebras are Jordan algebras. Finally, we use this decomposition to classify these algebras up to dimension six.

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