2022/03/07 by Alexander Guterman, Guterman, Alexander, Dmitry Kudryavtsev +1
Computer Science · Mathematics · #15A03 #15A78 #17A99 #Advanced Topics in Algebra #FOS: Mathematics #Iterative Methods for Nonlinear Equations #Matrix Theory and Algorithms #Rings and Algebras (math.RA)
paper · pdf · doi:10.48550/arxiv.2203.03593
openalex publication_date 2022/03/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.