Morita Theory For Derived Categories: A Bicategorical Perspective

Details Morita Theory For Derived Categories: A Bicategorical Perspective Morita Theory For Derived Categories: A Bicategorical Perspective

2008-05-23

arxiv.org/abs/0805.3673v2

Mathematics

Algebraic Topology

20 pages; minor update to introduction; contact information added

Scientific paper

We 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.

Affiliated with

Also associated with

No associations

Rating

Morita Theory For Derived Categories: A Bicategorical Perspective does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Morita Theory For Derived Categories: A Bicategorical Perspective, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Morita Theory For Derived Categories: A Bicategorical Perspective will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-500706