Ascent and descent of going-down rings for integral extensions

DOI10.1017/S0004972700022619zbMath0327.13007OpenAlexW2042403445MaRDI QIDQ4092083

David E. Dobbs

Publication date: 1976

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700022619

Mathematics Subject Classification ID

Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Ramification problems in algebraic geometry (14E22)

Related Items

Transfer of Krull Dimension, Lying-Over, and Going-Down to the Fixed Ring ⋮ VALUATIVE DOMAINS ⋮ Prüfer's ascent result via Inc ⋮ Topologically defined classes of going-down domains ⋮ On almost valuation ring pairs ⋮ An answer to a Dobbs conjecture about treed domains ⋮ Integral Overrings of Two-Dimensional Going-Down Domains ⋮ On treed Nagata rings ⋮ Straight Rings ⋮ Topologically Defined Classes of Going-Down Domains

Cites Work

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• On Going-Down for Simple Overrings. III
• Ideals I of R[ X for which R[ X ]/I is R-Projective]
• Generalized Quotient Rings
• Some Properties of Integral Closure
• On Going Down for Simple Overrings
• On Going Down in Polynomial Rings
• A Note on Intersections of Valuation Ideals
• The Finiteness of I when R[ X /I is R-Flat. II]