Derived Equivalences Between Associative Deformations

2009/07/12 by Amnon Yekutieli, Yekutieli, Amnon
Mathematics · #16D90 (Secondary) #16S80 #53D55 (Primary) 18E30 #FOS: Mathematics #Quantum Algebra (math.QA) #Rings and Algebras (math.RA) #math.QA #math.RA #msc:16D90 #msc:16S80 #msc:18E30 #msc:53D55

paper · pdf · doi:10.48550/arxiv.0907.2018

10 pages

arxiv created 2009/07/12 · arxiv updated 2009/12/01

Abstract

We prove that if two associative deformations (parameterized by the same complete local ring) are derived Morita equivalent, then they are Morita equivalent (in the classical sense).

Related

• Morita equivalence of deformations of Kleinian singularities
• Two questions on stable equivalences of Morita type
• Wide Morita contexts, relative injectivity and equivalence results
• Morita Theory in Deformation Quantization
• Three deformation functors for associative algebras