Morita Theory For Derived Categories: A Bicategorical Perspective

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dc.creatorJohnson, Niles
dc.date2008-05-23
dc.date2008-06-03
dc.date.accessioned2026-07-07T09:42:02Z
dc.date.available2026-07-07T09:42:02Z
dc.descriptionWe present a bicategorical perspective on derived Morita theory for rings, DG algebras, and spectra. This perspective draws a connection between Morita theory and the bicategorical Yoneda Lemma, yielding a conceptual unification of Morita theory in derived and bicategorical contexts. This is motivated by study of Rickard's theorem for derived equivalences of rings and of Morita theory for ring spectra, which we present in Sections 2 and 4. Along the way, we gain an understanding of the barriers to Morita theory for DG algebras and give a conceptual explanation for the counterexample of Dugger and Shipley.
dc.description20 pages; minor update to introduction; contact information added
dc.identifierhttps://arxiv.org/abs/0805.3673
dc.identifierhttp://arxiv.org/abs/0805.3673
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/162037
dc.subjectAlgebraic Topology
dc.subjectCategory Theory
dc.subjectRings and Algebras
dc.titleMorita Theory For Derived Categories: A Bicategorical Perspective
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