How do algebras grow?
Rings and Algebras
2020-05-06 v1
Abstract
We construct an increasing, submultiplicative, arbitrarily rapid function which is not equivalent to the growth function of any finitely generated algebra, demonstrating the difficulty in characterizing growth functions in an asymptotic language.
Cite
@article{arxiv.2005.02019,
title = {How do algebras grow?},
author = {Be'eri Greenfeld},
journal= {arXiv preprint arXiv:2005.02019},
year = {2020}
}
Comments
Preliminary version. Comments are welcomed