Absolute irreducibility
id:
absolute-irreducibility-243-12512051
title:
Absolute irreducibility
text:
In mathematics, a multivariate polynomial defined over the rational numbers is absolutely irreducible if it is irreducible over the complex field. For example, x 2 + y 2 − 1 is absolutely irreducible, but while x 2 + y 2 is irreducible over the integers and the reals, it is reducible over the complex numbers as x 2 + y 2 = , and thus not absolutely irreducible. More generally, a polynomial defined over a field K is absolutely irreducible if it is irreducible over every algebraic extension of K,
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wiki
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encyclopedia
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original url:
https://en.wikipedia.org/wiki/Absolute_irreducibility
date created:
date modified:
2023-11-08T12:16:00Z
main entity:
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13
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