Catenarian Property of Mixed Polynomial and Power Series Rings Over a Pullback

DOI10.1080/00927872.2013.814663zbMath1314.13023OpenAlexW1981362638MaRDI QIDQ2876304

Mi Hee Park

Publication date: 18 August 2014

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

Full work available at URL: https://doi.org/10.1080/00927872.2013.814663

zbMATH Keywords

pullbackmixed extensionCatenarian

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15) Formal power series rings (13F25)

Cites Work

• Unnamed Item
• Locally pseudo-valuation domains
• Universally catenarian domains of D \(+\) M type. II
• Krull dimension of mixed extensions
• Power series rings over globalized pseudo-valuation domains
• Couples d'anneaux partageant un idéal. (Couples of rings sharing an ideal)
• Topologically defined classes of commutative rings
• Catenarian property in a domain of formal power series
• Catenarity of formal power series rings over a pullback
• Krull dimension and generic fibres for mixed polynomial and power series integral domains
• Dimension de Krull des anneaux de séries formelles sur un produit fibré. (Krull dimension of formal power series rings on a fibre product)
• On the class group and the local class group of a pullback
• Integral dependence in power series rings
• Power series rings over Prüfer domains
• Pairs of Rings with the Same Prime Ideals

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