Showing 2017Show all
3 papers · 1 filter
math.RA2017
Finite generation of Lie derived powers of associative algebras
Adel Alahmadi, Hamed Alsulami
Let be an associative algebra over a field of characteristic that is generated by a finite collection of nilpotent elements. We prove that all Lie derived powers of $A…
math.RA2017
Embeddings in Lie algebras of subexponential growth
Adel Alahmadi, Hamed Alsulami
We prove that an arbitrary countable dimensional Lie algebra over a field of characteristic that is locally of subexponential growth is embeddable in a finitely generated…
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…