3 papers
math.RA2019
On the growth of algebras, semigroups, and hereditary languages
Jason Bell, Efim Zelmanov
We determine the possible functions that can occur, up to asymptotic equivalence, as growth functions of semigroups, hereditary languages, and algebras.
math.RA2017
Algebras and semigroups of locally subexponential growth
Adel Alahmadi, Hamed Alsulami, S. K. Jain +1
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 gene…
math.GR2008
Dimension expanders
A. Lubotzky, E. Zelmanov
We show that there exists $k \in \bbn$ and $0 < \e \in\bbr$ such that for every field of characteristic zero and for every $n \in \bbn$, there exists explicitly given linear tr…