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 LK(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.
Homological properties of simple modules over Leavitt path algebras
Tonolo, Alberto
2026
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 LK(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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