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:
“There is absolutely no evidence—developmental or otherwise—to support separating twins in school as a general policy. . . . The best policy seems to be no policy at all, which means that each year, you and your children need to decide what will work best for you.”
—Pamela Patrick Novotny (20th century)
“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)