SFT-stability and Krull dimension in power series rings over an almost pseudo-valuation domain

DOI10.1007/s10231-013-0360-8zbMath1318.13016OpenAlexW2026078008MaRDI QIDQ466967

Mohamed Khalifa, Ali Benhissi

Publication date: 31 October 2014

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10231-013-0360-8

zbMATH Keywords

Krull dimensionpower series ringAPVDSFT-ring

Mathematics Subject Classification ID

Valuation rings (13F30) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15) Formal power series rings (13F25)

Related Items

Jump of a domain and spectrally balanced domains ⋮ Note on valuative dimension in power series rings

Cites Work

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• Krull dimension of power series rings over a globalized pseudo-valuation domain
• SFT stability via power series extension over Prüfer domains
• The SFT property does not imply finite dimension for power series rings.
• Uniformly primary ideals
• Power series rings over Prüfer domains
• Krull Dimension in Power Series Ring Over an Almost Pseudo-Valuation Domain
• Algebraic Extensions of Power Series Rings
• POWERFUL IDEALS, STRONGLY PRIMARY IDEALS, ALMOST PSEUDO-VALUATION DOMAINS, AND CONDUCIVE DOMAINS
• Krull Dimension in Power Series Rings

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