Complete intersection dimension for complexes

2003/04/14 by Sean Sather-Wagstaff, Sather-Wagstaff, Sean
Mathematics · #13C40 #13D05 #13D25 #13D40 #14H10 #Commutative Algebra (math.AC) #FOS: Mathematics #math.AC #msc:13C40 #msc:13D05 #msc:13D25 #msc:13D40 #msc:14H10

paper · pdf · doi:10.48550/arxiv.math/0304179

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arxiv created 2003/04/14 · arxiv updated 2009/11/30

Abstract

We extend the notions of complete intersection dimension and lower complete intersection dimension to the category of complexes with finite homology and verify basic properties analogous to those holding for modules. We also discuss the question of the behavior of complete intersection dimension with respect to short exact sequences.

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