10 citations · 14 across the 14 of their papers we have counts for
15 papers · 1 filter
On the existence of divisible non-injective modules over Leavitt path algebras
Mara Barban, Alberto Tonolo
Let K be any field and E any directed graph. We investigate the existence of divisible non-injective left modules over the Leavitt path algebra L_K(E) for a broad class of graphs.…
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…
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…
Injectives over Leavitt path algebras of graphs with disjoint cycles
Gene Abrams, Francesca Mantese, Alberto Tonolo
Let be any field, and let be a finite graph with the property that every vertex in is the base of at most one cycle (we say such a graph satisfies Condition (AR)). We e…