On the heart of a faithful torsion theory
From MaRDI portal
Publication:865491
DOI10.1016/j.jalgebra.2006.01.020zbMath1120.18008OpenAlexW1984721323MaRDI QIDQ865491
Riccardo Colpi, Francesca Mantese, Gregorio, Enrico
Publication date: 14 February 2007
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jalgebra.2006.01.020
Related Items (22)
The HRS tilting process and Grothendieck hearts of t-structures ⋮ Local coherence of hearts associated with Thomason filtrations ⋮ Cotorsion pairs, torsion pairs, and \(\varSigma \)-pure-injective cotilting modules ⋮ On tilted Giraud subcategories ⋮ Locally finitely presented and coherent hearts ⋮ \(t\)-structures with Grothendieck hearts via functor categories ⋮ Tilting preenvelopes and cotilting precovers in general abelian categories ⋮ Cotilting sheaves on Noetherian schemes ⋮ \(t\)-structures on stable derivators and Grothendieck hearts ⋮ On the heart associated with a torsion pair ⋮ Prekernels of topologically axiomatized subcategories of concrete categories ⋮ Addendum to ``Direct limits in the heart of a t-structure: the case of a torsion pair ⋮ Hearts of t-structures in the derived category of a commutative Noetherian ring ⋮ When the heart of a faithful torsion pair is a module category ⋮ The 𝑡-structure induced by an 𝑛-tilting module ⋮ Realisation functors in tilting theory ⋮ Tilting and cotilting modules over concealed canonical algebras ⋮ Tilting via torsion pairs and almost hereditary Noetherian rings. ⋮ Derived equivalences induced by big cotilting modules ⋮ Torsion pairs over n-hereditary rings ⋮ tCG torsion pairs ⋮ Direct limits in the heart of a t-structure: the case of a torsion pair
Cites Work
- Unnamed Item
- Unnamed Item
- Exactness of the double dual and Morita duality for Grothendieck categories
- Derived categories and Morita theory
- Tilting objects in abelian categories and quasitilted rings
- Morita Theory for Derived Categories
- On torsion theories induced by tilting modules
- Partial cotilting modules and the lattices induced by them
- Cotilting modules are pure-injective
- Ont-Structures and Tilting Theory
- Tilting in Grothendieck categories
- Construction of 𝑡-structures and equivalences of derived categories
- Tilting and torsion theory counter equivalences
- Tilting in abelian categories and quasitilted algebras
- Tilting equivalences for Grothendieck categories
- Hereditary cotilting modules
This page was built for publication: On the heart of a faithful torsion theory
