The Gorenstein Colength of an Artinian Local Ring

Abstract

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.

arXiv commentThe title and layout have changed, has been shortened to 9 pages. Published in Journal of Algebra

References in corpus (1)

• Rings which are almost Gorenstein

Cited by in corpus (7)

• The trace of the canonical module
• Local rings with self-dual maximal ideal
• Correspondence between trace ideals and birational extensions with application to the analysis of the Gorenstein property of rings
• Trace of canonical modules, annihilator of Ext, and classes of rings close to being Gorenstein
• Connected sums of Gorenstein local rings
• Computing minimal Gorenstein covers
• Computing Gorenstein Colength