On prime non-primitive von Neumann regular algebras

Details On prime non-primitive von Neumann regular algebras On prime non-primitive von Neumann regular algebras

2011-03-21

arxiv.org/abs/1103.4089v1

Mathematics

Rings and Algebras

18 pages

Scientific paper

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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