Conjugate element (field theory)
id:
conjugate-element-field-theory-258-15914116
title:
Conjugate element (field theory)
text:
In mathematics, in particular field theory, the conjugate elements or algebraic conjugates of an algebraic element α, over a field extension L/K, are the roots of the minimal polynomial pK,α(x) of α over K. Conjugate elements are commonly called conjugates in contexts where this is not ambiguous. Normally α itself is included in the set of conjugates of α. Equivalently, the conjugates of α are the images of α under the field automorphisms of L that leave fixed the elements of K. The equivalence
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wiki
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encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Conjugate_element_(field_theory)
date created:
date modified:
2024-02-18T11:07:14Z
main entity:
{"identifier":"Q714220","url":"https://www.wikidata.org/entity/Q714220"}
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13
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