Minimal polynomial (field theory)
id:
minimal-polynomial-field-theory-271-5374086
title:
Minimal polynomial (field theory)
text:
In field theory, a branch of mathematics, the minimal polynomial of an element α of an extension field of a field is, roughly speaking, the polynomial of lowest degree having coefficients in the smaller field, such that α is a root of the polynomial. If the minimal polynomial of α exists, it is unique. The coefficient of the highest-degree term in the polynomial is required to be 1. More formally, a minimal polynomial is defined relative to a field extension E/F and an element of the extension f
brand slug:
wiki
category slug:
encyclopedia
description:
Concept in abstract algebra
original url:
https://en.wikipedia.org/wiki/Minimal_polynomial_(field_theory)
date created:
date modified:
2024-01-14T22:12:19Z
main entity:
{"identifier":"Q2242730","url":"https://www.wikidata.org/entity/Q2242730"}
image:
fields total:
13
integrity:
14