Reflexivity in derived categories

DOI10.1515/FORUM.2010.061zbMath1206.18013arXiv0705.2537OpenAlexW2962820912MaRDI QIDQ3060232

Francesca Mantese, Alberto Tonolo

Publication date: 1 December 2010

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0705.2537

zbMATH Keywords

cotilting theoremabelian categoriesreflexive complexadjoint pair of contravariant functors

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) (18A40) Spectral sequences, hypercohomology (18G40) Resolutions; derived functors (category-theoretic aspects) (18G10) Representation theory of associative rings and algebras (16Gxx)

Related Items (2)

Derived dualities induced by a 1-cotilting bimodule ⋮ Derived equivalence induced by infinitely generated 𝑛-tilting modules

Cites Work

• Partial tilting and cotilting bimodules.
• Tilting modules of finite projective dimension
• Derived categories and Morita theory
• Cotilting modules and bimodules
• Generalizing Morita duality: a homological approach
• Infinitely generated tilting modules of finite projective dimension
• Tilting, cotilting, and serially tilted rings
• Morita Theory for Derived Categories
• A generalization of morita duality and the tilting theorem
• Generalizing cotilting dualities

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