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arXiv · 2203.03593

Values of the length function for nonassociative algebras

Alexander Guterman·Dmitry Kudryavtsev
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Abstract

We study realizable values of the length function for unital possibly nonassociative algebras of a given dimension. To do this we apply the method of characteristic sequences and establish sufficient conditions of realisability for a given value of length. The proposed conditions are based on binary decompositions of the value and algebraic constructions that allow to modify length function of an algebra. Additionally we provide a classification of unital algebras of maximal possible length in terms of their basis.

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Alexander Guterman, Dmitry Kudryavtsev. 2022-03-07. Values of the length function for nonassociative algebras. https://arxiv.org/abs/2203.03593

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