Maximal non-ϕ-pseudo-valuation rings

DOI10.1142/S0219498822500906zbMath1484.13016OpenAlexW3114998515MaRDI QIDQ5070891

Rahul Kumar, Atul Gaur

Publication date: 14 April 2022

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498822500906

zbMATH Keywords

\(\phi\)-PVRmaximal non-\(\phi\)-PVRmaximal non-local ringsmaximal non-PVR

Mathematics Subject Classification ID

Integral closure of commutative rings and ideals (13B22) Valuation rings (13F30)

Cites Work

• Idealization of a module
• Couples d'anneaux partageant un idéal. (Couples of rings sharing an ideal)
• Chained rings
• Pseudo-valuation domains
• Maximal non \(\phi \)-chained rings and maximal non chained rings
• Intersections of quotient rings of an integral domain
• Some results about proper overrings of pseudo-valuation domains
• Overrings of Commutative Rings. III: Normal Pairs
• On divided commutative rings
• On Nonnil-Noetherian Rings
• Prüfer rings with zero divisors.
• Factoring Nonnil Ideals into Prime and Invertible Ideals
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