Survival-Pairs of Commutative Rings Have the Lying-Over Property

DOI10.1081/AGB-120016758zbMath1048.13005OpenAlexW2058710859MaRDI QIDQ4803351

Coykendall, Jim, David E. Dobbs

Publication date: 2 April 2003

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/agb-120016758

zbMATH Keywords

survival pairGU-pair, INC-pairLying-over pairsurvival homomorphism

Mathematics Subject Classification ID

Morphisms of commutative rings (13B10) Integral domains (13G05) Extension theory of commutative rings (13B02) Integral dependence in commutative rings; going up, going down (13B21)

Related Items (5)

On characterizations of integrality involving the lying-over and incomparable properties ⋮ Normal pairs of noncommutative rings ⋮ Maximal subrings of classical integral domains ⋮ Unnamed Item ⋮ Hereditary atomicity in integral domains

Cites Work

• Unnamed Item
• Residually algebraic pairs of rings
• Prime ideals surviving in complete integral closures
• Intermediate rings between D+I And K [y₁,…,y_t]
• Nearly integral homomorphisms of commutative rings
• On Inc-Extensions and Polynomials with Unit Content
• Lying-Over Pairs of Commutative Rings
• Integral ring extensions and lo-pairs

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