algebraic function field

Finitely generated extension field of positive transcendence degree

EntityQ4724000

Also known as function field

Subclass of: transcendental extension
, finitely generated extension

Overview

From Wikipedia, the free encyclopedia · Read full article · Text CC BY-SA 4.0

In mathematics, an algebraic function field of variables over a field is a finitely generated field extension which has transcendence degree over . Equivalently, an algebraic function field of variables over may be defined as a finite field extension of the field of rational functions in variables over .

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Different from: algebraic function

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Source last edited September 17, 2026. AIDB refreshes this page daily.

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AIDB. (2026). algebraic function field (Q4724000). Retrieved from https://aidb.si/e/algebraic-function-field-Q4724000