Hilbert's fourteenth problem
id:
hilbert-s-fourteenth-problem-247-598197
title:
Hilbert's fourteenth problem
text:
In mathematics, Hilbert's fourteenth problem, that is, number 14 of Hilbert's problems proposed in 1900, asks whether certain algebras are finitely generated. The setting is as follows: Assume that k is a field and let K be a subfield of the field of rational functions in n variables, Consider now the k-algebra R defined as the intersection Hilbert conjectured that all such algebras are finitely generated over k. Some results were obtained confirming Hilbert's conjecture in special cases and for
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wiki
category slug:
encyclopedia
description:
Are certain algebras finitely generated
original url:
https://en.wikipedia.org/wiki/Hilbert%27s_fourteenth_problem
date created:
date modified:
2023-05-30T23:03:09Z
main entity:
{"identifier":"Q4515163","url":"https://www.wikidata.org/entity/Q4515163"}
image:
fields total:
13
integrity:
14