Hilbert–Burch theorem
id:
hilbert-burch-theorem-192-12557114
title:
Hilbert–Burch theorem
text:
In mathematics, the Hilbert–Burch theorem describes the structure of some free resolutions of a quotient of a local or graded ring in the case that the quotient has projective dimension 2. Hilbert (1890) proved a version of this theorem for polynomial rings, and Burch (1968, p. 944) proved a more general version. Several other authors later rediscovered and published variations of this theorem. Eisenbud gives a statement and proof.
brand slug:
wiki
category slug:
encyclopedia
description:
Describes the structure of some free resolutions of a quotient of a local or graded ring
original url:
https://en.wikipedia.org/wiki/Hilbert%E2%80%93Burch_theorem
date created:
date modified:
2023-08-12T22:38:42Z
main entity:
{"identifier":"Q5761240","url":"https://www.wikidata.org/entity/Q5761240"}
image:
fields total:
13
integrity:
14