Krull dimension, overrings and semistar operations of an integral domain

DOI10.1016/j.jalgebra.2008.11.028zbMath1168.13017arXiv1205.6893OpenAlexW1972037049MaRDI QIDQ1014618

Abdeslam Mimouni

Publication date: 29 April 2009

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.6893

zbMATH Keywords

Krull dimensionPrüfer domainsemistar operation\(f\)gv-domain

Mathematics Subject Classification ID

Integral domains (13G05)

Related Items (5)

Star, semistar and standard operations: a case study ⋮ Unnamed Item ⋮ Some topological considerations on semistar operations ⋮ Characterizations of Some Classes of Integral Domains via Semistar Operations ⋮ The set of indeterminate rings of a normal pair as a partially ordered set

Cites Work

• Semistar-operations of finite character on integral domains
• Conducive integral domains
• The number of overrings of an integrally closed domain
• On the set of \(t\)-linked overrings of an integral domain
• Reflexive domains
• Overrings and divisorial ideals of rings of the form \(D+M\)
• On the ubiquity of Gorenstein rings
• The v-operation and intersections of quotient rings of integral domains
• Nagata Rings, Kronecker Function Rings, and Related Semistar Operations
• Divisorial domains
• Note on the number of semistar-operations
• Some finiteness conditions on the set of overrings of an integral domain
• Integral Domains in Which Each Ideal Is aW-Ideal
• Note on the number of semistar operations, VIII
• On the Cardinality of Semistar Operations on Integral Domains
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