%0 Journal Article %T Classification of modules not lying on short chains %A Alicja Jaworska %A Piotr Malicki %A Andrzej Skowro¨˝ski %J Mathematics %D 2011 %I arXiv %R 10.1093/qmath/has034 %X We give a complete description of finitely generated modules over artin algebras which are not the middle of a short chain of modules, using injective and tilting modules over hereditary artin algebras. %U http://arxiv.org/abs/1112.3464v1