%0 Journal Article
%T Indecomposables live in all smaller lengths
%A Klaus Bongartz
%J Mathematics
%D 2009
%I arXiv
%X 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.
%U http://arxiv.org/abs/0904.4609v2