2015/06/09 by Manuel Saorin, Alexander Zimmermann, Saorin, Manuel +1
Mathematics · #Category Theory (math.CT) #FOS: Mathematics #Representation Theory (math.RT) #Rings and Algebras (math.RA) #math.CT #math.RA #math.RT
paper · pdf · doi:10.48550/arxiv.1506.02878
arxiv created 2015/06/09 · arxiv updated 2015/06/10
We generalise Yoshino's definition of a degeneration of two Cohen Macaulay modules to a definition of degeneration between two objects in a triangulated category. We derive some natural properties for the triangulated category and the degeneration under which the Yoshino-style degeneration is equivalent to the degeneration defined by a specific distinguished triangle analogous to Zwara's characterisation of degeneration in module varieties.