A FINITENESS CONDITION ON QUASI-LOCAL OVERRINGS OF A CLASS OF PINCHED DOMAINS

DOI10.17654/NT045010055zbMath1480.13005arXiv1811.09868MaRDI QIDQ5036056

Sehrish Bibi, Shafiq Ur Rehman, Rubab Gull

Publication date: 23 February 2022

Published in: JP Journal of Algebra, Number Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.09868

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)

Cites Work

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• Numerical characterizations of some integral domains
• The number of overrings of an integrally closed domain
• Pseudo-valuation domains
• The spectrum of a ring as a partially ordered set
• A Class of Pinched Domains II
• A finiteness condition on the set of overrings of some classes of integral domains
• 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

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