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 |
DOIs | |
State | Accepted/In press - 2023 |
Bibliographical note
Publisher Copyright:© 2024 World Scientific Publishing Company.
Keywords
- Length function
- Malcev algebras
- growth
- nonassociative algebra