Directed unions of local monoidal transforms and GCD domains

DOI10.1142/S0219498820500619zbMath1440.13012arXiv1808.07735OpenAlexW2963224411WikidataQ114614707 ScholiaQ114614707MaRDI QIDQ5113132

Lorenzo Guerrieri

Publication date: 2 June 2020

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.07735

zbMATH Keywords

regular local ringsGCD domainsmonoidal transformsdirected unions of domains

Mathematics Subject Classification ID

Integral domains (13G05) Ideals and multiplicative ideal theory in commutative rings (13A15) Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial) (13F15) Regular local rings (13H05)

Related Items (1)

On the integral domains characterized by a Bézout property on intersections of principal ideals

Cites Work

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• Ideal theory of infinite directed unions of local quadratic transforms
• Arithmetic properties in pullbacks
• Topologically defined classes of commutative rings
• Integral domains that satisfy Gauss's lemma
• Coherentlike conditions in pullbacks
• Asymptotic properties of infinite directed unions of local quadratic transforms
• The reduction of the singularities of an algebraic surface
• Monoidal Transforms of Regular Local Rings
• On the Valuations Centered in a Local Domain
• On a property of pre-schreier domains
• Directed Unions of Local Quadratic Transforms of Regular Local Rings and Pullbacks
• Foundations of a General Theory of Birational Correspondences

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