10 citations · 13 across the 13 of their papers we have counts for
17 papers
The injective envelope of simple modules over Leavitt path algebras II: simples arising from exclusive cycles
G. Abrams, F. Mantese, A. Tonolo
Let be any field, any directed graph, and the associated Leavitt path algebra. As described first by Chen, and subsequently generalized by Ara and Rangaswamy, for…
The injective envelope of simple modules over Leavitt path algebras I: simple left ideals
G. Abrams, F. Mantese, A. Tonolo
Let be any field and any directed graph. We characterize up to isomorphism the simple (i.e., minimal) left ideals of the Leavitt path algebra . Then, for each simpl…
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…
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…
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…
Non-commutative factorizations and finite-dimensional representations of free algebras
Pham Ngoc Ánh, Francesca Mantese
A very first step to develop non-commutative algebraic geometry is the arithmetic of polynomials in non-commuting variables over a commutative field, that is, the study of elements…