Homological properties of simple modules over Leavitt path algebras
Rings and Algebras
2026-05-22 v2
Abstract
Let be any field, and let be any graph. We explicitly construct the projective resolution of simple left modules over the Leavitt path algebra associated to cycles and irreducible polynomials. Then we study the dimension of the -vector space of the extensions between two such simple modules.
Cite
@article{arxiv.2604.11241,
title = {Homological properties of simple modules over Leavitt path algebras},
author = {Francesca Mantese and Alberto Tonolo},
journal= {arXiv preprint arXiv:2604.11241},
year = {2026}
}