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arXiv · 1703.08733

Algebras and semigroups of locally subexponential growth

Adel Alahmadi·Hamed Alsulami·S. K. Jain·Efim Zelmanov
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Abstract

We prove that a countable dimensional associative algebra (resp. a countable semigroup) of locally subexponential growth is $M_\infty$-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.

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Adel Alahmadi, Hamed Alsulami, S. K. Jain, Efim Zelmanov. 2017-03-25. Algebras and semigroups of locally subexponential growth. https://arxiv.org/abs/1703.08733

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