F. Mattiello

activity

20142019

most citedTilting modules and tilting torsion pairs - filtrations induced by tilting modules

1 citations · 1 across the 2 of their papers we have counts for

collaborators

4 papers

math.RA2019★ 1 cited

Tilting modules and tilting torsion pairs - filtrations induced by tilting modules

Francesco Mattiello, Sergio Pavon, Alberto Tonolo

Tilting modules, generalising the notion of progenerator, furnish equivalences between pieces of module categories. This paper is dedicated to study how much these pieces say about…

math.RT2016

On a property of $t$ -structures generated by non-classical tilting modules

Francesco Mattiello

Let $R$ be a ring and $T \in Mod - R$ be a (non-classical) tilting module of finite projective dimension. Let $T = (T^{\leq 0}, T^{\geq 0})$ be the $…

math.RT2015

Derived equivalences induced by nonclassical tilting objects

Luisa Fiorot, Francesco Mattiello, Manuel Saorín

Suppose that $A$ is an abelian category whose derived category $D (A)$ has $H o m$ sets and arbitrary (small) coproducts, let $T$ be a (not necessarily c…

math.RT2014

A classification theorem for $t$ -structures

Luisa Fiorot, Francesco Mattiello, Alberto Tonolo

We give a classification theorem for a relevant class of $t$ -structures in triangulated categories, which includes in the case of the derived category of a Grothendieck category, t…

Tilting modules and tilting torsion pairs - filtrations induced by tilting modules

On a property of t-structures generated by non-classical tilting modules

Derived equivalences induced by nonclassical tilting objects

A classification theorem for t-structures

On a property of $t$ -structures generated by non-classical tilting modules

A classification theorem for $t$ -structures