K. Rangaswamy

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math.RA2009★ 1 cited

The socle series of a Leavitt path algebra

Gene Abrams, Kulumani M. Rangaswamy, Mercedes Siles Molina

We investigate the ascending Loewy socle series of Leavitt path algebras $L_{K} (E)$ for an arbitrary graph $E$ and field $K$ . We classify those graphs $E$ for which $L_{K} (E) = S_{λ}$ for…

math.RA2008

Regularity conditions for arbitrary Leavitt path algebras

G. Abrams, K. M. Rangaswamy

We show that if $E$ is an arbitrary acyclic graph then the Leavitt path algebra $L_{K} (E)$ is locally $K$ -matricial; that is, $L_{K} (E)$ is the direct union of subalgebras, each isomor…