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:
“I have tasted but little bread in my life. It has been mere grub and provender for the most part. Of bread that nourished the brain and the heart, scarcely any. There is absolutely none on the tables even of the rich.”
—Henry David Thoreau (1817–1862)
“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)