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Preprint Number 516
516. Hans Schoutens
Semi-addivitity and acyclicity
Submission date: 14 October 2012.
We generalize the notion of length to an ordinal-valued invariant defined on the class of finitely generated modules over a Noetherian ring. A key property of this invariant is its semi-additivity on short exact sequences. As an application, we prove some general acyclicity theorems.
Mathematics Subject Classification:
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