3 papers
math.RA2026
Homological properties of simple modules over Leavitt path algebras
Francesca Mantese, Alberto Tonolo
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…
math.RA2025
Cotilting duality for Artinian rings
Francesca Mantese, Lorenzo Martini
A classical result due to Morita and Azumaya establishes that given two arbitrary rings, any duality between their finitely generated modules is representable by a faithfully balan…
math.RA2024
Indecomposable Injectives over the Jacobson Algebra
Riccardo Colpi, Francesca Mantese, Alberto Tonolo
Let K be any field. In this paper we give a complete list of the indecomposable left injective module over the Jacobson algebra K<X,Y | XY = 1>, i.e., the free associative K-algebr…