Equivalence of Hearts of Twin Cotorsion Pairs on Triangulated Categories

DOI10.1080/00927872.2015.1087545zbMath1375.18064arXiv1407.7130OpenAlexW2963564873MaRDI QIDQ2817511

Hiroyuki Nakaoka

Publication date: 31 August 2016

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.7130

zbMATH Keywords

torsion pair\(T\)-structuretraingulated category

Mathematics Subject Classification ID

Torsion theories, radicals (18E40) Abelian categories, Grothendieck categories (18E10)

Related Items (2)

LOCALIZATIONS OF THE HEARTS OF COTORSION PAIRS ⋮ A simultaneous generalization of mutation and recollement of cotorsion pairs on a triangulated category

Cites Work

• General heart construction for twin torsion pairs on triangulated categories
• General heart construction on a triangulated category. I: Unifying \(t\)-structures and cluster tilting subcategories
• General heart construction on a triangulated category. II: Associated homological functor
• Cluster-tilted algebras are Gorenstein and stably Calabi-Yau
• Hearts of twin cotorsion pairs on exact categories
• From triangulated categories to abelian categories: cluster tilting in a general framework
• Mutation in triangulated categories and rigid Cohen-Macaulay modules
• From triangulated categories to module categories via localization II: calculus of fractions
• T -structures and torsion pairs in a 2-Calabi-Yau triangulated category

This page was built for publication: Equivalence of Hearts of Twin Cotorsion Pairs on Triangulated Categories