Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8896143 | Journal of Algebra | 2018 | 15 Pages |
Abstract
We prove that a countable dimensional associative algebra (resp. a countable semigroup) of locally subexponential growth is Mâ-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.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Adel Alahmadi, Hamed Alsulami, S.K. Jain, Efim Zelmanov,