A. Tonolo

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math.RA2009★ 10 cited

Derived Equivalence induced by $n$ -tilting modules

S. Bazzoni, F. Mantese, A. Tonolo

Let $T_{R}$ be a right $n$ -tilting module over an arbitrary associative ring $R$ . In this paper we prove that there exists a $n$ -tilting module $T_{R}^{'}$ equivalent to $T_{R}$ which induc…

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 $Σ$ -pure injectivity of the cotilting m…

math.RA2008

On classes defining a homological dimension

Francesca Mantese, Alberto Tonolo

A class $F$ of objects of an abelian category $A$ is said to define a \emph{homological dimension} if for any object in $A$ the length of any $\mathcal F…

Derived Equivalence induced by n-tilting modules

On cotilting cotorsion and torsion pairs

On classes defining a homological dimension

Derived Equivalence induced by $n$ -tilting modules