Hilbert's basis theorem
id:
hilbert-s-basis-theorem-171-18374826
title:
Hilbert's basis theorem
text:
In mathematics Hilbert's basis theorem asserts that every ideal of a polynomial ring over a field has a finite generating set. In modern algebra, rings whose ideals have this property are called Noetherian rings. Every field, and the ring of integers are Noetherian rings. So, the theorem can be generalized and restated as: every polynomial ring over a Noetherian ring is also Noetherian. The theorem was stated and proved by David Hilbert in 1890 in his seminal article on invariant theory, where h
brand slug:
wiki
category slug:
encyclopedia
description:
Polynomial ideals are finitely generated
original url:
https://en.wikipedia.org/wiki/Hilbert%27s_basis_theorem
date created:
2002-02-25T15:51:15Z
date modified:
2024-09-01T13:43:05Z
main entity:
{"identifier":"Q656645","url":"https://www.wikidata.org/entity/Q656645"}
image:
fields total:
13
integrity:
15