Auslander-Reiten theory for simply connected differential graded algebras
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Publication:2922533
zbMath1303.16015arXiv0801.0651MaRDI QIDQ2922533
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Publication date: 11 October 2014
Full work available at URL: https://arxiv.org/abs/0801.0651
derived categoriesdifferential graded algebrasAuslander-Reiten quiverscomponentsAuslander-Reiten trianglessimply connected Poincaré duality spaces
Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Rational homotopy theory (55P62) Differential graded algebras and applications (associative algebraic aspects) (16E45) Poincaré duality spaces (57P10) Derived categories and associative algebras (16E35)
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Families of Auslander-Reiten components for simply connected differential graded algebras. ⋮ Ghost length, cone length and complete level of DG modules. ⋮ On the levels of maps and topological realization of objects in a triangulated category ⋮ Homological properties of cochain differential graded algebras. ⋮ Cone Length for DG Modules and Global Dimension of DG Algebras
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