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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…
math.RA2008
On cotilting cotorsion and torsion pairs
Riccardo Colpi, Francesca Mantese, Alberto Tonolo
In this paper we study cotorsion and torsion pairs induced by cotilting modules. We prove the existence of a strong relationship between the -pure injectivity of the cotilting m…