5 papers
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…
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…
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…
Completions of Leavitt path algebras
Adel Alahmadi, Hamed Alsulami
We introduce a class of topologies on the Leavitt path algebra of a finite directed graph and decompose a graded completion as a direct sum of minimal ideal…
On the simplicity of Lie algebra of Leavitt path algebra
Adel Alahmedi, Hamed Alsulami
For a field and a row-finite directed graph let be the Leavitt path algebra. We find necessary and sufficient conditions for the Lie algebra to be simp…