Transcendence degree in power series rings

DOI10.1016/0021-8693(79)90216-3zbMath0407.13015OpenAlexW2002014046MaRDI QIDQ1257930

Jimmy T. Arnold, David W. Boyd

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1016/0021-8693(79)90216-3

zbMATH Keywords

Transcendence DegreePower Series RingIntegral Domains

Mathematics Subject Classification ID

Integral domains (13G05) Formal power series rings (13F25) Rings of fractions and localization for commutative rings (13B30)

Related Items (4)

Algebraic Extensions of Power Series Rings ⋮ Transcendental degree in power series rings ⋮ Chain of Prime Ideals in Formal Power Series Rings ⋮ A localization of a power series ring over a Prüfer domain

Cites Work

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• Pre-Prüfer rings
• Some Counterexamples Related to Integral Closure in x
• A Note on the Quotient Field of the Domain DX
• How Changing Dx Changes Its Quotient Field
• Krull Dimension in Power Series Rings

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