On prime non-primitive von Neumann regular algebras

Gene Abrams; Jason Bell; Kulumani M. Rangaswamy

arxiv: 1103.4089 · v1 · pith:XITI6JEYnew · submitted 2011-03-21 · 🧮 math.RA

On prime non-primitive von Neumann regular algebras

Gene Abrams , Jason Bell , Kulumani M. Rangaswamy This is my paper

classification 🧮 math.RA

keywords neumannprimeprimitiveregularalgebraalgebrasclassesclassify

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Let $E$ be any directed graph, and $K$ any field. We classify those graphs $E$ for which the Leavitt path algebra $L_K(E)$ is primitive. As a consequence, we obtain classes of examples of von Neumann regular prime rings which are not primitive.

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On prime non-primitive von Neumann regular algebras

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