When is a fixed ring comparable to all overrings?

DOI10.1142/S0219498822500505zbMath1482.13014OpenAlexW3094787914MaRDI QIDQ5062324

Ahmed Ayache

Publication date: 15 March 2022

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

Full work available at URL: https://doi.org/10.1142/s0219498822500505

zbMATH Keywords

valuation domainpseudo-valuation domainminimal overringpullback ringcomparable overring

Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) Polynomials over commutative rings (13B25) Valuations and their generalizations for commutative rings (13A18) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35) Extension theory of commutative rings (13B02) Completion of commutative rings (13B35)

Related Items (1)

Splitting ring extensions

Cites Work

• Couples d'anneaux partageant un idéal. (Couples of rings sharing an ideal)
• Topologically defined classes of commutative rings
• Divided rings and going-down
• Pseudo-valuation domains
• Residually algebraic pairs of rings
• \(\Delta\)-rings
• Intersections of quotient rings of an integral domain
• A Constructive Study About the Set of Intermediate Rings
• WHEN IS THE INTEGRAL CLOSURE COMPARABLE TO ALL INTERMEDIATE RINGS
• Overrings of Commutative Rings. III: Normal Pairs
• Pairs of Rings with the Same Prime Ideals
• Some finiteness conditions on the set of overrings of an integral domain
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