Steady growth of length function and Malcev algebras

Alexander Guterman; Dmitry Kudryavtsev

doi:10.1142/s0219498824502335

Steady growth of length function and Malcev algebras

Alexander Guterman, Dmitry Kudryavtsev

Department of Mathematics

Bar-Ilan University

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Article number	2450233
Journal	Journal of Algebra and its Applications
Volume	23
Issue number	13
DOIs	https://doi.org/10.1142/s0219498824502335
State	Published - 1 Nov 2024

Keywords

Length function
Malcev algebras
growth
nonassociative algebra

All Science Journal Classification (ASJC) codes

Algebra and Number Theory
Applied Mathematics

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10.1142/s0219498824502335

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Steady growth of length function and Malcev algebras

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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