In mathematics, absolutely irreducible is a term applied to linear representations or algebraic varieties over a field. It means that the object in question remains irreducible, even after any finite extension of the field of coefficients. In both cases, being absolutely irreducible is the same as being irreducible over the algebraic closure of the ground field.
Read more about Absolutely Irreducible: Examples
Famous quotes containing the words absolutely and/or irreducible:
“The English may not like music, but they absolutely love the noise it makes.”
—Thomas Beecham (1879–1961)
“If an irreducible distinction between theatre and cinema does exist, it may be this: Theatre is confined to a logical or continuous use of space. Cinema ... has access to an alogical or discontinuous use of space.”
—Susan Sontag (b. 1933)