Power series over integral domains of Krull type

DOI10.1142/s0219498823501554zbMath1514.13018OpenAlexW4225155560MaRDI QIDQ6108910

Le Thi Ngoc Giau, Phan Thanh Toan

Publication date: 30 June 2023

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498823501554

zbMATH Keywords

Krull domainpower series ringgeneralized Krull domainintegral domain of Krull-type

Mathematics Subject Classification ID

Valuation rings (13F30) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Formal power series rings (13F25)

Cites Work

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• Krull-dimension of the power series ring over a nondiscrete valuation domain is uncountable
• Constructing chains of primes in power series rings
• A localization of a power series ring over a valuation domain
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• The Krull dimension of power series rings over non-SFT rings
• On the generalized Krull property in power series rings
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• Power series over generalized Krull domains
• The Krull dimension of power series rings over almost Dedekind domains
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• Power series rings over Prüfer domains
• On power series rings over valuation domains
• CONSTRUCTING CHAINS OF PRIMES IN POWER SERIES RINGS, II
• A Note ont-SFT-rings
• Some Results on v-Multiplication Rings
• Krull Dimension in Power Series Rings

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