Realising Smashing Localisations as Morphisms of DG Algebras |
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Authors: | Kristian Brüning Birgit Huber |
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Affiliation: | 1. Institut für Mathematik, Universit?t Paderborn, 33095, Paderborn, Germany
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Abstract: | For a smashing localisation L of the derived category of a differential graded (dg) algebra A we construct a dg algebra A L and a morphism of dg algebras A→A L that induces the canonical map in cohomology. As a first application we obtain a localisations of a dg algebra A with graded commutative homology at a prime ideal in the homology H * A, namely a morphism of dg algebras. As a second application we can use results of Keller to “model” every smashing localisation of compactly generated algebraic triangulated categories by a morphism of dg algebras. |
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Keywords: | Differential graded algebra Localisation Smashing |
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