Universally Incomparable Ring-Homomorphisms

DOI10.1017/S0004972700021547zbMath0535.13006OpenAlexW2042710652MaRDI QIDQ3318877

David E. Dobbs, Marco Fontana

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1017/s0004972700021547

zbMATH Keywords

integral domainchange of baseintegral mapsradiciel mapsuniversally incomparable homomorphisms

Mathematics Subject Classification ID

Ideals and multiplicative ideal theory in commutative rings (13A15) Extension theory of commutative rings (13B02) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05)

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Cites Work

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• Topologically defined classes of commutative rings
• A characterization of Prüfer domains in terms of polynomials
• On Inc-Extensions and Polynomials with Unit Content
• Generalized Quotient Rings
• A Generalization of Zariski's Main Theorem
• Going Down in Polynomial Rings