PrimeT-Ideals in Polynomial and Power Series Rings Over a Pseudo-Valuation Domain

DOI10.1080/00927872.2014.897190zbMath1312.13004OpenAlexW2025676354MaRDI QIDQ5245109

Mi Hee Park

Publication date: 2 April 2015

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

Full work available at URL: https://doi.org/10.1080/00927872.2014.897190

zbMATH Keywords

polynomial ringvaluation domainpower series ringpseudo-valuation domain\(t\)-dimensionprime \(t\)-idealSFT

Mathematics Subject Classification ID

Polynomials over commutative rings (13B25) Ideals and multiplicative ideal theory in commutative rings (13A15) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15) Formal power series rings (13F25)

Cites Work

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• Prime \(t\)-ideals in power series rings over a discrete valuation domain
• Krull dimension of power series rings over a globalized pseudo-valuation domain
• Couples d'anneaux partageant un idéal. (Couples of rings sharing an ideal)
• Some remarks on star-operations
• Pseudo-valuation domains
• A localization of a power series ring over a valuation domain
• On t- Spec(R[[X])]
• A Note ont-SFT-rings

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