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arXiv · 2604.11241

Homological properties of simple modules over Leavitt path algebras

Francesca Mantese·Alberto Tonolo
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Abstract

Let $K$ be any field, and let $E$ be any graph. We explicitly construct the projective resolution of simple left modules over the Leavitt path algebra $L_K(E)$ associated to cycles and irreducible polynomials. Then we study the dimension of the $K$-vector space of the extensions between two such simple modules.

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Francesca Mantese, Alberto Tonolo. 2026-04-13. Homological properties of simple modules over Leavitt path algebras. https://arxiv.org/abs/2604.11241

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