Adel Alahmedi

most citedStructure of Leavitt path algebras of polynomial growth

26 citations · 26 across the 2 of their papers we have counts for

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math.RA2014

Finite generation of Lie algebras associated to associative algebras

Adel Alahmedi, Hamed Alsulami, S. K. Jain +1

Let $F$ be a field of characteristic not $2$ . An associative $F$ -algebra $R$ gives rise to the commutator Lie algebra $R^{(-)} = (R, [a, b] = ab - ba) .$ If the algebra $R$ is equipped wit…

math.RA2014★ 26 cited

Structure of Leavitt path algebras of polynomial growth

Adel Alahmedi, Hamed Alsulami, Surender Jain +1

We determine the structure of Leavitt path algebras of polynomial growth and discuss their automorphisms and involutions.

math.RA2013

On the simplicity of Lie algebra of Leavitt path algebra

Adel Alahmedi, Hamed Alsulami

For a field $F$ and a row-finite directed graph $Γ$ let $L (Γ)$ be the Leavitt path algebra. We find necessary and sufficient conditions for the Lie algebra $[L (Γ), L (Γ)]$ to be simp…

math.RA2013

Simplicity of the Lie algebra of skew symmetric elements of a Leavitt path algebra

Adel Alahmedi, Hamed Alsulami

For a field $F$ of characteristic not 2 and a directed row-finite graph $Γ$ let $L (Γ)$ be the Leavitt path algebra with the standard involution $* .$ We study the Lie algebra $K=K(L…