Rees algebra
id:
rees-algebra-170-5020034
title:
Rees algebra
text:
In commutative algebra, the Rees algebra or Rees ring of an ideal I in a commutative ring R is defined to be R [ I t ] = ⨁ n = 0 ∞ I n t n ⊆ R [ t ]. The extended Rees algebra of I is defined as R [ I t, t − 1 ] = ⨁ n = − ∞ ∞ I n t n ⊆ R [ t, t − 1 ]. This construction has special interest in algebraic geometry since the projective scheme defined by the Rees algebra of an ideal in a ring is the blowing-up of the spectrum of the ring along the subscheme defined by the ideal.
brand slug:
wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Rees_algebra
date created:
2009-12-08T19:23:47Z
date modified:
2024-08-31T23:50:31Z
main entity:
{"identifier":"Q7306976","url":"https://www.wikidata.org/entity/Q7306976"}
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fields total:
13
integrity:
14