Coherence conditions in flat regular pullbacks
| Autor: | Sean Sather-Wagstaff, Jason Greene Boynton |
|---|---|
| Rok vydání: | 2015 |
| Předmět: |
Ring (mathematics)
Pure mathematics Algebra and Number Theory Mathematics::Commutative Algebra 010102 general mathematics Order (ring theory) Mathematics - Commutative Algebra Commutative Algebra (math.AC) 01 natural sciences Conductor Coherent ring 13A99 13B40 13C11 13D07 13F20 13G05 Pullback 0103 physical sciences FOS: Mathematics Coherence (signal processing) 010307 mathematical physics 0101 mathematics Mathematics |
| DOI: | 10.48550/arxiv.1506.05389 |
| Popis: | 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. Comment: 21 pages |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|