Principalization (algebra)
id:
principalization-algebra-299-7055404
title:
Principalization (algebra)
text:
In the mathematical field of algebraic number theory, the concept of principalization refers to a situation when, given an extension of algebraic number fields, some ideal of the ring of integers of the smaller field isn't principal but its extension to the ring of integers of the larger field is. Its study has origins in the work of Ernst Kummer on ideal numbers from the 1840s, who in particular proved that for every algebraic number field there exists an extension number field such that all id
brand slug:
wiki
category slug:
encyclopedia
description:
When an idea extends to a principal ideal in an extension of algebraic number fields
original url:
https://en.wikipedia.org/wiki/Principalization_(algebra)
date created:
date modified:
2023-08-14T10:59:59Z
main entity:
{"identifier":"Q17300011","url":"https://www.wikidata.org/entity/Q17300011"}
image:
fields total:
13
integrity:
14