On the heart of a faithful torsion theory

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

zbMATH Keywords

tiltingderived categoryheartabelian categoryGrothendieck categorytorsion theory

Mathematics Subject Classification ID

Torsion theories, radicals (18E40)

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

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