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arXiv · 1506.05389

Coherence conditions in flat regular pullbacks

Jason Boynton·Sean Sather-Wagstaff
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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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Jason Boynton, Sean Sather-Wagstaff. 2015-06-17. Coherence conditions in flat regular pullbacks. https://arxiv.org/abs/1506.05389

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