Homological Properties of Simple Modules Over Leavitt Path Algebras
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.
Authors
- Francesca Mantese (ORCID: https://orcid.org/0000-0002-2126-9426)
- Alberto Tonolo (ORCID: https://orcid.org/0000-0002-9844-3998)
Institutions
- Twitter (United States) (US)
Publication Details
- Journal
- Journal of Algebra and Its Applications
- Published
- 2026-08-28
- DOI
- https://doi.org/10.1142/s0219498826430061
- Primary Topic
- Advanced Operator Algebra Research
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Istituto Nazionale di Alta Matematica "Francesco Severi"
- Gruppo Nazionale per le Strutture Algebriche, Geometriche e le loro Applicazioni