Derived recollements and generalised AR formulas

DOI10.1016/j.jpaa.2018.04.004zbMath1443.18004arXiv1612.01651OpenAlexW2588921152MaRDI QIDQ1789646

Samuel Dean, Jeremy Russell

Publication date: 10 October 2018

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.01651

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Torsion theories, radicals (18E40) Abelian categories, Grothendieck categories (18E10) Preadditive, additive categories (18E05) Functor categories, comma categories (18A25)

Related Items (6)

From short exact sequences of abelian categories to short exact sequences of homotopy categories and derived categories ⋮ The Auslander-Gruson-Jensen recollement ⋮ The defect recollement, the MacPherson-Vilonen construction, and pp formulas ⋮ The Auslander-Reiten formula on finitely presented functor categories ⋮ The recollements of purity ⋮ Abelian quotients of categories of short exact sequences

Cites Work

• Morphisms determined by objects and flat covers
• Applications of the defect of a finitely presented functor
• Recollements of module categories
• Contravariant functors on the category of finitely presented modules.
• Elementary construction of perverse sheaves
• T.T.F. theories for left and right exact sequences
• The Auslander-Gruson-Jensen recollement
• Stable equivalence of dualizing R-varieties
• Comparison of abelian categories recollements
• The tensor product of functors; satellites; and derived functors
• Locally finitely presented additive categories
• Stable module theory
• Bifunctors and Adjoint Pairs
• Morita Theorems for Functor Categories
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