Realising smashing localisations as morphisms of DG algebras.
type: Item
instance of: scholarly article
title: Realising smashing localisations as morphisms of DG algebras.
zbMATH Open document ID: 1183.16010
author: Kristian Brüning
author: Birgit Huber
published in: Applied Categorical Structures
publication date: 2009-07-13T00:00:00Z
review text: Let \(k\) be a commutative ring, \(A\) be a differential graded algebra over \(k\) such that \(H^*A\) is graded-commutative and let \(\mathcal P\) be a graded prime ideal of \(H^*A\). In this paper, the authors investigate the question of the ``realization'' of the canonical \(\mathcal P\)-localization: \(\mathcal Q\colon H^*A\to(H^*A)_{\mathcal P}\). In other words, they study the existence of a localization \(A\to A_{\mathcal{L(P)}}\) of \(A\) which induces \(\mathcal Q\).
Mathematics Subject Classification ID: 16E45
Mathematics Subject Classification ID: 18E30
Mathematics Subject Classification ID: 55P60
Mathematics Subject Classification ID: 16E40
zbMATH DE Number: 5577699
zbMATH Keywords: differential graded algebras
zbMATH Keywords: smashing localizations
zbMATH Keywords: graded-commutative cohomology
zbMATH Keywords: derived categories
zbMATH Keywords: triangulated categories
reviewed by: Saïd Zarati
MaRDI profile type: Publication
full work available at URL: s10485-007-9108-1
OpenAlex ID: W1997922478
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DOI: 10.1007/S10485-007-9108-1
description: scientific article; zbMATH DE number 5577699