Ideal norm
id:
ideal-norm-266-8754590
title:
Ideal norm
text:
In commutative algebra, the norm of an ideal is a generalization of a norm of an element in the field extension. It is particularly important in number theory since it measures the size of an ideal of a complicated number ring in terms of an ideal in a less complicated ring. When the less complicated number ring is taken to be the ring of integers, Z, then the norm of a nonzero ideal I of a number ring R is simply the size of the finite quotient ring R/I.
brand slug:
wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Ideal_norm
date created:
date modified:
2023-01-06T05:10:36Z
main entity:
{"identifier":"Q5988007","url":"https://www.wikidata.org/entity/Q5988007"}
image:
fields total:
13
integrity:
13