Prolongations of valuations to simple transcendental extensions with given residue field and value group

DOI10.1112/S0025579300006732zbMath0726.12005OpenAlexW2134352644MaRDI QIDQ4711196

Sudesh Kaur Khanduja

Publication date: 25 June 1992

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0025579300006732

zbMATH Keywords

valuationvalue groupresidue fieldsimple transcendental extension

Mathematics Subject Classification ID

Valuations and their generalizations for commutative rings (13A18) Transcendental field extensions (12F20) General valuation theory for fields (12J20)

Related Items

Value groups, residue fields, and bad places of rational function fields

Cites Work

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• A Structure Theorem for Simple Transcendental Extensions of Valued Fields
• The Ruled Residue Theorem for Simple Transcendental Extensions of Valued Fields
• A Theorem on Valuation Rings and its Applications