Anti-Archimedean property and the formal power series rings

DOI10.1080/00927872.2018.1552288zbMath1412.13004OpenAlexW2917792615WikidataQ128307617 ScholiaQ128307617MaRDI QIDQ5384644

Mi Hee Park, Ahmed Hamed, Walid Maaref

Publication date: 24 June 2019

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

Full work available at URL: https://doi.org/10.1080/00927872.2018.1552288

zbMATH Keywords

formal power series ringboundedArchimedeananti-Archimedean

Mathematics Subject Classification ID

Integral closure of commutative rings and ideals (13B22) Valuations and their generalizations for commutative rings (13A18) Ideals and multiplicative ideal theory in commutative rings (13A15) Formal power series rings (13F25)

Related Items (1)

Generalization of Artinian rings and the formal power series rings

Cites Work

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• The piecewise Noetherian property in power series rings over a valuation domain
• Krull dimension of mixed extensions
• Ahmes expansions of formal Laurent series and a class of nonarchimedean integral domains
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• A localization of a power series ring over a valuation domain
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• Dedekind-Mertens lemma and content formulas in power series rings
• The SFT property does not imply finite dimension for power series rings.
• On locally divided domains of the form Int(\(D\))
• Power series rings over Prüfer domains
• Anti-archimedean rings and power series rings
• FORMAL POWER SERIES RINGS OVER ZERO-DIMENSIONAL SFT-RINGS
• Krull Dimension in Power Series Rings

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