Lifting chains of prime ideals to paravaluation rings

DOI10.1007/BF02904237zbMath0962.13020OpenAlexW2086267641MaRDI QIDQ1568117

David E. Dobbs

Publication date: 14 June 2001

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02904237

zbMATH Keywords

paravaluation ringunital extension

Mathematics Subject Classification ID

Integral closure of commutative rings and ideals (13B22) Valuations and their generalizations for commutative rings (13A18) Ideals and multiplicative ideal theory in commutative rings (13A15) Valuation rings (13F30) Extension theory of commutative rings (13B02)

Related Items (1)

Lifting chains of prime ideals

Cites Work

• La notion de place dans un anneau
• A going-up theorem for arbitrary chains of prime ideals
• Lifting up an infinite chain of prime ideals to a valuation ring
• On Going Down For Simple Overrings II
• On Going-Down for Simple Overrings. III
• Valuations on a Commutative Ring
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