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 $L_K(E)=S_{\lambda }$ for…