2009/04/29 by Klaus Bongartz, Bongartz, Klaus
Mathematics · #16D70 #16D90 #16G20 #16G60 #Category Theory (math.CT) #FOS: Mathematics #Representation Theory (math.RT) #math.CT #math.RT #msc:16D70 #msc:16D90 #msc:16G20 #msc:16G60
paper · pdf · doi:10.48550/arxiv.0904.4609
correction of an error in part c) of lemma 9; minor changes (style)
arxiv created 2012/01/11 · arxiv updated 2012/01/12
Let k be an algebraically closed field and A a finite dimensional associative k-algebra. We prove that there is no gap in the lengths of indecomposable A-modules of finite length. The analogous result holds for an abelian k-linear category C if the endomorphism algebras of the simples are k.