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Flexible idempotents in nonassociative algebras (2011.11702v4)

Published 23 Nov 2020 in math.RA

Abstract: ``Fusion rules'' are laws of multiplication among eigenspaces of an idempotent. We establish fusion rules for flexible power-associative algebras, following Albert. We define the notion of an axis in the noncommutative setting (compare with [HRS]) and accumulate information about pairs of axes. We also describe a class of noncommutative examples of flexible power-associative algebras.

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