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arXiv · 2210.16252

Modules for Leavitt path algebras via extended algebraic branching systems

Raimund Preusser
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Abstract

For a graph $E$, we introduce the notion of an extended $E$-algebraic branching system, generalising the notion of an $E$-algebraic branching system introduced by Gonçalves and Royer. We classify the extended $E$-algebraic branching systems and show that they induce modules for the corresponding Leavitt path algebra $L(E)$. Among these modules we find a class of nonsimple modules whose endomorphism rings are fields.

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Raimund Preusser. 2022-10-28. Modules for Leavitt path algebras via extended algebraic branching systems. https://arxiv.org/abs/2210.16252

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