Coherence conditions in flat regular pullbacks

DOI10.1016/J.JPAA.2016.02.004zbMath1339.13007arXiv1506.05389OpenAlexW2963255418MaRDI QIDQ272989

Jason G. Boynton, Sean K. Sather-Wagstaff

Publication date: 21 April 2016

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.05389

zbMATH Keywords

pullbacksNoetherian ringscoherent ringspullbackcoherent-like propertiesconductor squarePrüfer ringsatomic domains

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Commutative Noetherian rings and modules (13E05) Integral domains (13G05) Ideals and multiplicative ideal theory in commutative rings (13A15) Homological functors on modules of commutative rings (Tor, Ext, etc.) (13D07) Commutative rings and modules of finite generation or presentation; number of generators (13E15) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Étale and flat extensions; Henselization; Artin approximation (13B40) Injective and flat modules and ideals in commutative rings (13C11) General commutative ring theory (13A99)

Related Items (6)

Coherence conditions in flat regular pullbacks ⋮ Rings with arithmetical closure properties relative to the prime spectrum and its complement ⋮ Noetherian-like properties and zero-dimensionality in some extensions of rings ⋮ An example of an atomic pullback without the ACCP ⋮ A survey on fixed divisors ⋮ The ring of polynomials integral-valued over a finite set of integral elements

Cites Work

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• Coherence conditions in flat regular pullbacks
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• Topologically defined classes of commutative rings
• Commutative coherent rings
• \(D+M\) constructions with general overrings
• Coherence in cartesian squares
• Coherentlike conditions in pullbacks
• On the class group and the local class group of a pullback
• Integer-Valued Polynomials
• On Prüfer domains of polynomials.
• Dimension functions on the prime spectrum
• When is D + M Coherent?

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