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- Absolutely_irreducible abstract "In mathematics, a multivariate polynomial defined over the rational numbers is absolutely irreducible if it is irreducible over the complex field. For example is absolutely irreducible, but is irreducible over the integers and the reals, but, as is not absolutely irreducible.More generally, an affine algebraic set defined by equations with coefficients in a field K is absolutely irreducible if it is not the union of two algebraic sets defined by equations in an algebraically closed extension of K. In other words, absolutely irreducible algebraic set is a synonymous of algebraic variety, which emphasizes that the coefficients of the defining equations may not belong to an algebraically closed field.Absolutely irreducible is also applied, with the same meaning to linear representations of algebraic groups.In all cases, being absolutely irreducible is the same as being irreducible over the algebraic closure of the ground field.".
- Absolutely_irreducible wikiPageID "7044429".
- Absolutely_irreducible wikiPageRevisionID "602442767".
- Absolutely_irreducible hasPhotoCollection Absolutely_irreducible.
- Absolutely_irreducible subject Category:Algebraic_geometry.
- Absolutely_irreducible subject Category:Representation_theory.
- Absolutely_irreducible comment "In mathematics, a multivariate polynomial defined over the rational numbers is absolutely irreducible if it is irreducible over the complex field.".
- Absolutely_irreducible label "Absolutely irreducible".
- Absolutely_irreducible sameAs m.0h1q_3.
- Absolutely_irreducible sameAs Q4669870.
- Absolutely_irreducible sameAs Q4669870.
- Absolutely_irreducible wasDerivedFrom Absolutely_irreducible?oldid=602442767.
- Absolutely_irreducible isPrimaryTopicOf Absolutely_irreducible.