%0 Journal Article %T The Gorenstein Colength of an Artinian Local Ring %A H. Ananthnarayan %J Mathematics %D 2007 %I arXiv %R 10.1016/j.jalgebra.2008.08.017 %X In this paper, we make the notion of approximating an Artinian local ring by a Gorenstein Artin local ring precise using the concept of Gorenstein colength. We also answer the question as to when the Gorenstein colength is at most two. %U http://arxiv.org/abs/0705.2186v2