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Preprint Number 516

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516. Hans Schoutens
Semi-addivitity and acyclicity
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Submission date: 14 October 2012.

Abstract:

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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Full text arXiv 1210.3855: pdf, ps.


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