Concept information
Preferred term
minimal polynomial
Definition
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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.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Minimal_polynomial_(field_theory))
Broader concept
In other languages
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French
URI
http://data.loterre.fr/ark:/67375/PSR-J0LH5512-X
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