On valuations of K(x)

DOI10.1017/S0013091500005708zbMath0755.12003MaRDI QIDQ4024662

Sudesh Kaur Khanduja

Publication date: 8 February 1993

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

extensionvaluationresidue fieldsvalued fieldsimple transcendental extensionvalue groups

Mathematics Subject Classification ID

Valuations and their generalizations for commutative rings (13A18) Transcendental field extensions (12F20) Valued fields (12J10) General valuation theory for fields (12J20)

Related Items (10)

Value groups, residue fields, and bad places of rational function fields ⋮ On minimal pairs and residually transcendental extensions of valuations ⋮ On extensions generated by roots of lifting polynomials ⋮ A generalization of Eisenstein-Schönemann irreducibility criterion ⋮ Abstract key polynomials and distinguished pairs ⋮ On residually transcendental valued function fields of conics ⋮ On Chains Associated with Elements Algebraic over a Henselian Valued Field ⋮ Prolongations of valuations to finite extensions ⋮ On Brown's constant associated with irreducible polynomials over Henselian valued fields ⋮ On Eisenstein–Dumas and Generalized Schönemann Polynomials

Cites Work

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

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