Realising smashing localisations as morphisms of DG algebras.
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 \(\mathcal Q\).
scientific article; zbMATH DE number 5577699