Steady growth of length function and Malcev algebras

2022/03/07 by Alexander Guterman, Guterman, Alexander, Dmitry Kudryavtsev +1
Decision Sciences · Mathematics · #15A03 #15A78 #17A99 #Advanced Topics in Algebra #FOS: Mathematics #Fuzzy and Soft Set Theory #Rings and Algebras (math.RA) #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.2203.03595

openalex publication_date 2022/03/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We introduce and investigate the algebras of steadily growing length, that is the class of algebras, where the length is bounded by a linear function of the dimension. In particular we show that Malcev algebras belong to this class and establish the exact upper bound for its length.

Related

• Algebras of slowly growing length
• Growth Rates of Algebras, III: Growth Rates of Solvable Algebras
• Upper bounds for the length of non-associative algebras
• How do algebras grow?
• Gaps and approximations in the space of growth functions