Semi-addivitity and acyclicity

2012/10/14 by Hans Schoutens, Schoutens, Hans · 1 citation
Mathematics · #Commutative Algebra (math.AC) #FOS: Mathematics #Logic (math.LO) #math.AC #math.LO

paper · pdf · doi:10.48550/arxiv.1210.3855

arxiv created 2012/10/14 · arxiv updated 2012/10/16

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.

Cited by

• The theory of ordinal length

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