On valuations with a formula of a function field in several vaiables

DOI10.1080/00927878308822918zbMath0518.12017OpenAlexW2013887031MaRDI QIDQ3666978

Jane Tiffany Lovett

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1080/00927878308822918

zbMATH Keywords

transcendence degreeHilbert irreducibility theoremproduct formula for valuationsalgebraic function fields in several variablessystem of discret valuations

Mathematics Subject Classification ID

Transcendental field extensions (12F20) Valued fields (12J10) General field theory (12E99)

Cites Work

• Untersuchungen zum Hilbertschen Irreduzibilitätssatz
• Zur Theorie der Divisoren in algebraischen Funktionenkörpern
• Bewertungssysteme in algebraischen Funktionenkörpern
• Axiomatic characterization of fields by the product formula for valuations