Valuation rings and simple transcendental field extensions

DOI10.1016/0022-4049(82)90024-XzbMath0497.13003MaRDI QIDQ1170568

William J. Heinzer

Publication date: 1982

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

valuation ringsimple transcendental field extension

Mathematics Subject Classification ID

Valuations and their generalizations for commutative rings (13A18) Extension theory of commutative rings (13B02) Transcendental field extensions (12F20)

Related Items

On extensions of valuations to simple transcendental extensions ⋮ The Ruled Residue Theorem for Simple Transcendental Extensions of Valued Fields

Cites Work

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• Simple transcendental extensions of valued fields
• On the uniqueness of the coefficient ring in a polynomial ring
• Some Counterexamples Related to Integral Closure in x
• A Theorem on Valuation Rings and its Applications