The dual of Brown representability for some derived categories
type: Item
instance of: scholarly article
title: The dual of Brown representability for some derived categories
zbMATH Open document ID: 1373.18010
author: George Ciprian Modoi
published in: Arkiv för Matematik
publication date: 2017-03-23T00:00:00Z
full work available at URL: https://arxiv.org/abs/1305.6028
review text: In the main result of the present paper it is proved that if the derived category \(\mathbf{D}(\mathcal{A})\) of a complete abelian category \(\mathcal{A}\) which has an injective cogenerator is left complete then \(\mathbf{D}(\mathcal{A})\) has small hom-sets, and the dual \(\mathbf{D}(\mathcal{A})^{op}\) satisfies Brown representability.
reviewed by: Simion Sorin Breaz
Mathematics Subject Classification ID: 18E30
zbMATH DE Number: 6696596
zbMATH Keywords: Brown representability
zbMATH Keywords: complete abelian category
zbMATH Keywords: derived category
MaRDI profile type: Publication
OpenAlex ID: W2293962018
arXiv ID: 1305.6028
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DOI: 10.1007/S11512-016-0239-1
description: scientific article