Algebras and semigroups of locally subexponential growth
Rings and Algebras
2017-03-28 v1
Abstract
We prove that a countable dimensional associative algebra (resp. a countable semigroup) of locally subexponential growth is -embeddable as a left ideal in a finitely generated algebra (resp. semigroup) of subexponential growth. Moreover, we provide bounds for the growth of the finitely generated algebra (resp. semigroup). The proof is based on a new construction of matrix wreath product of algebras.
Keywords
Cite
@article{arxiv.1703.08733,
title = {Algebras and semigroups of locally subexponential growth},
author = {Adel Alahmadi and Hamed Alsulami and S. K. Jain and Efim Zelmanov},
journal= {arXiv preprint arXiv:1703.08733},
year = {2017}
}
Comments
13 pages