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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
Fun with the AuslanderBuchsbaum 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 AuslanderBuchsbaum formula, and is one of my favorite tools in commutative algebra. … Continue reading