2010/06/28 by Lidia Angeleri Hügel, Hügel, Lidia Angeleri, Steffen Koenig +3
Mathematics · #16E30 #16Gxx #18E30 #FOS: Mathematics #Representation Theory (math.RT) #Rings and Algebras (math.RA) #math.RA #math.RT #msc:16E30 #msc:16Gxx #msc:18E30
paper · pdf · doi:10.48550/arxiv.1006.5301
arxiv created 2012/02/09 · arxiv updated 2012/02/10
Recollements of triangulated categories may be seen as exact sequences of such categories. Iterated recollements of triangulated categories are analogues of geometric or topological stratifications and of composition series of algebraic objects. We discuss the question of uniqueness of such a stratification, up to ordering and derived equivalence, for derived module categories. The main result is a positive answer in the form of a Jordan Hölder theorem for derived module categories of hereditary artin algebras. We also provide examples of derived simple rings.