Algebraic function field
id:
algebraic-function-field-191-7191411
title:
Algebraic function field
text:
In mathematics, an algebraic function field (often abbreviated as function field) of n variables over a field k is a finitely generated field extension K/k which has transcendence degree n over k. Equivalently, an algebraic function field of n variables over k may be defined as a finite field extension of the field K = k(x1,...,xn) of rational functions in n variables over k.
brand slug:
wiki
category slug:
encyclopedia
description:
Finitely generated extension field of positive transcendence degree
original url:
https://en.wikipedia.org/wiki/Algebraic_function_field
date created:
date modified:
2022-04-21T17:44:05Z
main entity:
{"identifier":"Q4724000","url":"https://www.wikidata.org/entity/Q4724000"}
image:
fields total:
13
integrity:
14