Ideal reduction
id:
ideal-reduction-268-15285540
title:
Ideal reduction
text:
The reduction theory goes back to the influential 1954 paper by Northcott and Rees, the paper that introduced the basic notions. In algebraic geometry, the theory is among the essential tools to extract detailed information about the behaviors of blow-ups. Given ideals J ⊂ I in a ring R, the ideal J is said to be a reduction of I if there is some integer m > 0 such that J I m = I m + 1 . For such ideals, immediately from the definition, the following hold: For any k, J k I m = J k − 1 I m + 1 =
brand slug:
wiki
category slug:
encyclopedia
description:
Concept in commutative algebra
original url:
https://en.wikipedia.org/wiki/Ideal_reduction
date created:
date modified:
2023-08-12T22:49:14Z
main entity:
{"identifier":"Q112425663","url":"https://www.wikidata.org/entity/Q112425663"}
image:
fields total:
13
integrity:
14