Monogenic field
id:
monogenic-field-235-16630490
title:
Monogenic field
text:
In mathematics, a monogenic field is an algebraic number field K for which there exists an element a such that the ring of integers OK is the subring Z[a] of K generated by a. Then OK is a quotient of the polynomial ring Z[X] and the powers of a constitute a power integral basis. In a monogenic field K, the field discriminant of K is equal to the discriminant of the minimal polynomial of α.
brand slug:
wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Monogenic_field
date created:
date modified:
2022-02-07T18:15:46Z
main entity:
{"identifier":"Q6901589","url":"https://www.wikidata.org/entity/Q6901589"}
image:
fields total:
13
integrity:
13