A note on \(\lambda\)-domains and \(\Delta\)-domains

DOI10.36045/J.BBMS.190718zbMATH Open1457.13018OpenAlexW3106918344MaRDI QIDQ1999136

Atul Gaur, Rahul Kumar

Publication date: 18 March 2021

Published in: Bulletin of the Belgian Mathematical Society - Simon Stevin (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.bbms/1605841216

zbMATH Keywords

valuation domainoverring\(\Delta\)-domain\(\lambda\)-domainmaximal subring

Mathematics Subject Classification ID

Valuations and their generalizations for commutative rings (13A18) Integral domains (13G05) Extension theory of commutative rings (13B02) Integral domains (13G99)

Cites Work

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• PID pairs of rings and maximal non-PID subrings
• Residually algebraic pairs of rings
• \(\Delta\)-rings
• Pairs of domains where all intermediate domains are Jaffard
• Some questions concerning proper subrings
• Some results about proper overrings of pseudo-valuation domains
• Universally catenarian and going-down pairs of rings

Related Items (2)

Remarks about \(\Delta\)-complexes and applications ⋮ A note on \(\phi\)-\(\lambda\)-rings and \(\phi\)-\(\Delta\)-rings

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