On strong going-between, going-down, and their universalizations. II

DOI10.5802/ambp.175zbMath1071.13003OpenAlexW2321110637MaRDI QIDQ1881468

David E. Dobbs, Gabriel Picavet

Publication date: 5 October 2004

Published in: Annales Mathématiques Blaise Pascal (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AMBP_2003__10_2_245_0

zbMATH Keywords

pullbackNagata ringgoing-down domainuniversalizationstrongly going-between domain

Mathematics Subject Classification ID

Integral domains (13G05) Ideals and multiplicative ideal theory in commutative rings (13A15) Étale and flat extensions; Henselization; Artin approximation (13B40)

Cites Work

• On treed Nagata rings
• Universally going-down integral domains
• Universally going-down homomorphisms of commutative rings
• Universally catenarian integral domains
• A(X) and GB-Noetherian rings
• Topologically defined classes of commutative rings
• Going-between rings and contractions of saturated chains of prime ideals
• The spectrum of a ring as a partially ordered set
• Universally Going-Down Rings, 1-Split Rings, and Absolute Integral Closure
• On Going Down For Simple Overrings II
• On Going-Down for Simple Overrings. III
• Prime Ideal Structure in Commutative Rings
• Going Down in Polynomial Rings
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