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arXiv · 1405.3193

Endomorphism rings of Leavitt path algebras

Gonzalo Aranda Pino·Kulumani Rangaswamy·Mercedes Siles Molina
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Abstract

We investigate conditions under which the endomorphism ring of the Leavitt path algebra $L_{K}(E)$ possesses various ring and module-theoretical properties such as being von Neumann regular, $\pi$-regular, strongly $\pi$-regular or self-injective. We also describe conditions under which $L_{K}(E)$ is continuous as well as automorphism invariant as a right $L_{K}(E)$-module.

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Gonzalo Aranda Pino, Kulumani Rangaswamy, Mercedes Siles Molina. 2014-05-13. Endomorphism rings of Leavitt path algebras. https://arxiv.org/abs/1405.3193

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