Descent and ascent of perinormality in some ring extension settings

DOI10.1016/j.jalgebra.2018.07.007zbMath1398.13008OpenAlexW2884341280WikidataQ129489601 ScholiaQ129489601MaRDI QIDQ1655805

Andrew McCrady, Dana Weston

Publication date: 10 August 2018

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2018.07.007

zbMATH Keywords

Krull domaingoing downglobally perinormalperinormaluniversally catenary

Mathematics Subject Classification ID

Seminormal rings (13F45) Integral dependence in commutative rings; going up, going down (13B21) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05)

Cites Work

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• Universally going-down homomorphisms of commutative rings
• Perinormality -- a generalization of Krull domains
• Rings with approximation property
• On rings with low dimensional formal fibres
• Completions of local rings with an isolated singularity
• Stability of the divisor class group upon completion
• Going down
• Perinormal polynomial domains
• Characterization of Completions of Unique Factorization Domains
• Generalized Quotient Rings
• Going Down in Polynomial Rings
• Going Down and Open Extensions
• On the Structure of Complete Local Rings
• On seminormality