Efim Zelmanov

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math.RA2025

Jordan homomorphisms and T-ideals

Matej Brešar, Efim Zelmanov

Let $A$ and $B$ be associative algebras over a field $F$ with {\rm char} $(F) \neq = 2$ . Our first main result states that if $A$ is unital and equal to its commutator ideal, then every…

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.RA2012

Leavitt Path Algebras of Finite Gelfand-Kirillov Dimension

A. Alahmadi, H. Alsulami, S. K. Jain +1

Groebner-Shirshov basis and Gelfand-Kirillov dimension of the Leavitt path algebra are derived.