Coherence conditions in flat regular pullbacks

2015/06/17 by Jason Boynton, Boynton, Jason, Sean Sather-Wagstaff +1
Mathematics · #13A99 #13B40 #13C11 #13D07 #13F20 #13G05 #Commutative Algebra (math.AC) #FOS: Mathematics #math.AC #msc:13A99 #msc:13B40 #msc:13C11 #msc:13D07 #msc:13F20 #msc:13G05

paper · pdf · doi:10.48550/arxiv.1506.05389

21 pages

arxiv created 2015/06/17 · arxiv updated 2015/06/18

Abstract

We investigate the behavior of four coherent-like conditions in regular conductor squares. In particular, we find necessary and sufficient conditions in order that a pullback ring be a finite conductor ring, a coherent ring, a generalized GCD ring, or quasi-coherent ring. As an application of these results, we are able to determine exactly when the ring of integer-valued polynomials determined by a finite subset possesses one of the four coherent-like properties.

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