Two kinds of derived categories, Koszul duality, and comodule-contramodule correspondence
type: Item
instance of: scholarly article
title: Two kinds of derived categories, Koszul duality, and comodule-contramodule correspondence
zbMATH Open document ID: 1275.18002
DOI: 10.1090/S0065-9266-2010-00631-8
publication date: 2011-09-14T00:00:00Z
full work available at URL: https://arxiv.org/abs/0905.2621
Mathematics Subject Classification ID: 18-02
Mathematics Subject Classification ID: 18E30
Mathematics Subject Classification ID: 18G10
Mathematics Subject Classification ID: 16-02
Mathematics Subject Classification ID: 16T15
zbMATH DE Number: 5947402
author: Leonid Positselski
MaRDI profile type: Publication
arXiv ID: 0905.2621
cites work: Limits of coalgebras, bialgebras and Hopf algebras
cites work: Finitistic Dimension and a Homological Generalization of Semi-Primary Rings
cites work: Q3320507
cites work: Q4274265
cites work: Koszul duality
cites work: Koszul Duality Patterns in Representation Theory
cites work: Equivariant sheaves and functors
cites work: Q3582284
cites work: Q5751052
cites work: Direct Products of Modules
cites work: Limits and spectral sequences
cites work: Foundations of relative homological algebra
cites work: Homological Algebra on a Complete Intersection, with an Application to Group Representations
cites work: Koszul duality and equivalences of categories
cites work: Des catégories abéliennes
cites work: Q4740720
cites work: Q4143433
cites work: Homological algebra of homotopy algebras
cites work: DG coalgebras as formal stacks
cites work: Q4220599
cites work: Differential homological algebra and homogeneous spaces
cites work: Q4379454
cites work: Q4012042
cites work: Deriving DG categories
cites work: On the (non)vanishing of some ``derived'' categories of curved dg algebras.
cites work: A Brown representability theorem via coherent functors
cites work: the stable derived category of a noetherian scheme
cites work: Acyclicity versus total acyclicity for complexes over noetherian rings
cites work: Linear Koszul duality
cites work: The derived category of an exact category
cites work: Q4694943
cites work: The connection between the $K$-theory localization theorem of Thomason, Trobaugh and Yao and the smashing subcategories of Bousfield and Ravenel
cites work: The Grothendieck duality theorem via Bousfield’s techniques and Brown representability
cites work: The bar derived category of a curved dg algebra
cites work: Q3409132
cites work: Compact corigid objects in triangulated categories and co-\(t\)-structures
cites work: Q5714460
cites work: Koszul property and Bogomolov's conjecture
cites work: Mixed Artin-Tate motives with finite coefficients
cites work: Q3775700
cites work: On the cogeneration of \(t\)-structures
cites work: Q4342453
cites work: Q4296949
published in: Memoirs of the American Mathematical Society
description: scientific article