Tag Archives: commutative algebra

A Fitting remark

In this post I want to talk about an innocent commutative algebra lemma. Let be a DVR with uniformizer , and let be a finite torsion -module, so for some uniquely determined sequence . I’ll somewhat abusively refer to the … Continue reading

Posted in Math | Tagged | Leave a comment

Fun with the Auslander-Buchsbaum formula

Let be a Noetherian local ring, and let be a finite -module. When has finite projective dimension over , we have the remarkable equality This is the famous Auslander-Buchsbaum formula, and is one of my favorite tools in commutative algebra. … Continue reading

Posted in Uncategorized | Tagged , , | Leave a comment