Ahmes expansions of formal Laurent series and a class of nonarchimedean integral domains

DOI10.1016/0021-8693(86)90177-8zbMath0624.13017OpenAlexW1969860830MaRDI QIDQ1092126

David E. Dobbs

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0021-8693(86)90177-8

zbMATH Keywords

integral domainrationality of formal Laurent series

Mathematics Subject Classification ID

Integral domains (13G05) Formal power series rings (13F25) Power series rings (13J05)

Related Items (6)

Dp-minimal integral domains ⋮ Generalization of Artinian rings and the formal power series rings ⋮ Anti-Archimedean property and the formal power series rings ⋮ Unnamed Item ⋮ About the quotient fields of formal power series domains ⋮ Fragmented domains have infinite Krull dimension

Cites Work

• Unnamed Item
• Unnamed Item
• Conducive integral domains
• An Egyptian algorithm for polynomials
• Conducive integral domains as pullbacks
• Divided rings and going-down
• Overrings and divisorial ideals of rings of the form \(D+M\)
• The spectrum of a ring as a partially ordered set
• On a Class of Archimedean Integral Domains
• Some Counterexamples Related to Integral Closure in x
• A Note on the Quotient Field of the Domain DX
• The Lattice Point Covering Theorem for Rectangles
• How Changing Dx Changes Its Quotient Field

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