Hilbert's syzygy theorem
id:
hilbert-s-syzygy-theorem-288-4770877
title:
Hilbert's syzygy theorem
text:
In mathematics, Hilbert's syzygy theorem is one of the three fundamental theorems about polynomial rings over fields, first proved by David Hilbert in 1890, that were introduced for solving important open questions in invariant theory, and are at the basis of modern algebraic geometry. The two other theorems are Hilbert's basis theorem, which asserts that all ideals of polynomial rings over a field are finitely generated, and Hilbert's Nullstellensatz, which establishes a bijective correspondenc
brand slug:
wiki
category slug:
encyclopedia
description:
Theorem about linear relations in ideals and modules over polynomial rings
original url:
https://en.wikipedia.org/wiki/Hilbert%27s_syzygy_theorem
date created:
date modified:
2024-01-30T19:31:42Z
main entity:
{"identifier":"Q779220","url":"https://www.wikidata.org/entity/Q779220"}
image:
fields total:
13
integrity:
14