Quillen–Suslin theorem
id:
quillen-suslin-theorem-254-10650494
title:
Quillen–Suslin theorem
text:
The Quillen–Suslin theorem, also known as Serre's problem or Serre's conjecture, is a theorem in commutative algebra concerning the relationship between free modules and projective modules over polynomial rings. In the geometric setting it is a statement about the triviality of vector bundles on affine space. The theorem states that every finitely generated projective module over a polynomial ring is free.
brand slug:
wiki
category slug:
encyclopedia
description:
Commutative algebra theorem
original url:
https://en.wikipedia.org/wiki/Quillen%E2%80%93Suslin_theorem
date created:
date modified:
2024-04-05T04:14:51Z
main entity:
{"identifier":"Q7272004","url":"https://www.wikidata.org/entity/Q7272004"}
image:
fields total:
13
integrity:
14