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Classification of a family of three dimensional real evolution algebras (1812.03669v2)
Published 10 Dec 2018 in math.RA and math.AC
Abstract: In this paper we classify a family of three-dimensional real evolution algebras. We also consider an evolution operator for an evolution algebra and find fixed points of this operator for two and three-dimensional cases. Then we construct an evolution algebra, the matrix of structural constants of which is Jacobian of the evolution operator at a fixed point. We study isomorphism between these evolution algebras.