A finiteness condition on the set of overrings of some classes of integral domains

DOI10.1142/S0219498818500536zbMath1381.13002OpenAlexW2593228282MaRDI QIDQ3133331

Shafiq Ur Rehman

Publication date: 13 February 2018

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

Full work available at URL: https://doi.org/10.1142/s0219498818500536

zbMATH Keywords

valuation domainlocalizationDedekind domainPrüfer domainoverringpseudo-valuation domainintegrally closed

Mathematics Subject Classification ID

Ideals and multiplicative ideal theory in commutative rings (13A15) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05)

Related Items (2)

A FINITENESS CONDITION ON QUASI-LOCAL OVERRINGS OF A CLASS OF PINCHED DOMAINS ⋮ The number of intermediate rings in FIP extension of integral domains

Cites Work

• Numerical characterizations of some integral domains
• The number of overrings of an integrally closed domain
• Pseudo-valuation domains
• Residually algebraic pairs of rings
• Intersections of quotient rings of an integral domain
• A Class of Pinched Domains II
• Pairs of Rings with the Same Prime Ideals
• Intersections of Quasi-Local Domains
• A note on a characterization theorem for a certain class of domains
• Some finiteness conditions on the set of overrings of an integral domain
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: A finiteness condition on the set of overrings of some classes of integral domains