On the heights of prime ideals under integral extensions

DOI10.1007/BF01197970zbMath0634.13001OpenAlexW1994098016MaRDI QIDQ1096678

Warren D. Nichols, Robert Gilmer, Budh Singh Nashier

Publication date: 1989

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01197970

zbMATH Keywords

extension ringgoing down theoremproposed heights

Mathematics Subject Classification ID

Ideals and multiplicative ideal theory in commutative rings (13A15) Extension theory of commutative rings (13B02)

Cites Work

• Jacobsonsche Ringe, Hilbertscher Nullstellensatz, Dimensionstheorie
• Integral Ring Extensions and Prime Ideals of Infinite Rank
• Prime ideals and integral dependence
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