Kulumani M. Rangaswamy

most citedThe Dixmier-Moeglin equivalence for Leavitt path algebras

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

math.RA2011

The Theory of Prime Ideals of Leavitt Path Algebras over Arbitrary Graphs

Kulumani M. Rangaswamy

Given an arbitrary graph E and a field K, the prime ideals as well as the primitive ideals of the Leavitt path algebra L_K(E) are completely described in terms of their generators.…

math.RA2011

On prime non-primitive von Neumann regular algebras

Gene Abrams, Jason Bell, Kulumani M. Rangaswamy

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 exam…

math.RA2010★ 1 cited

The Dixmier-Moeglin equivalence for Leavitt path algebras

Gene Abrams, Jason P. Bell, Kulumani M. Rangaswamy

Let $K$ be a field, let $E$ be a finite directed graph, and let $L_{K} (E)$ be the Leavitt path algebra of $E$ over $K$ . We show that for a prime ideal $P$ in $L_{K} (E)$ , the following…