About: Hilbert–Burch theorem

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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 proved a version of this theorem for polynomial rings, and Burch proved a more general version. Several other authors later rediscovered and published variations of this theorem. , theorem 20.15) gives a statement and proof.

Attributes	Values
rdfs:label	Hilbert–Burch theorem (en)
rdfs:comment	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 proved a version of this theorem for polynomial rings, and Burch proved a more general version. Several other authors later rediscovered and published variations of this theorem. , theorem 20.15) gives a statement and proof. (en)
sameAs	Hilbert–Burch theorem
dbp:wikiPageUsesTemplate	dbt:Citation dbt:Harvs dbt:Harvtxt dbt:Short_description dbt:Abstract-algebra-stub
Subject	Commutative algebra Theorems in algebra
prov:wasDerivedFrom	http://en.wikipedia.org/wiki/Hilbert–Burch_theorem?oldid=1058076001&ns=0
Wikipage page ID	33800100 (xsd:integer)
page length (characters) of wiki page	2766 (xsd:nonNegativeInteger)
Wikipage revision ID	1058076001 (xsd:integer)
Link from a Wikipage to another Wikipage	Local ring Projective module Commutative algebra Zero divisor Springer Science+Business Media Fitting ideal Graded ring Graduate Texts in Mathematics Ideal (ring theory) Determinant Module (mathematics) Mathematics Mathematische Annalen Polynomial ring Quotient ring Resolution (algebra) Ring (mathematics) Theorems in algebra
has abstract	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 proved a version of this theorem for polynomial rings, and Burch proved a more general version. Several other authors later rediscovered and published variations of this theorem. , theorem 20.15) gives a statement and proof. (en)
foaf:isPrimaryTopicOf	http://en.wikipedia.org/wiki/Hilbert–Burch_theorem
is Wikipage redirect of	Hilbert-Burch theorem
is Link from a Wikipage to another Wikipage of	List of things named after David Hilbert Glossary of commutative algebra David Hilbert Hilbert's syzygy theorem Hilbert-Burch theorem Cohen–Macaulay ring
is foaf:primaryTopic of	http://en.wikipedia.org/wiki/Hilbert–Burch_theorem

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