Steady growth of length function and Malcev algebras
Rings and Algebras
2022-03-08 v1
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.
Keywords
Cite
@article{arxiv.2203.03595,
title = {Steady growth of length function and Malcev algebras},
author = {Alexander Guterman and Dmitry Kudryavtsev},
journal= {arXiv preprint arXiv:2203.03595},
year = {2022}
}
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20 pages