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.
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Famous quotes containing the words absolutely and/or irreducible:
“I’ll give you my answer calmly and sensibly, my final answer. My final answer is finally no. The answer is no! Absolutely and finally no! Finally and positively no! No! No! No! N - O!”
—Abraham Polonsky (b. 1910)
“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)