Each absolutely irreducible variety defined over has a -rational point.

Each absolutely irreducible polynomial has infinitely many -rational points.

An absolutely irreducible k-variety is defined over k if the associated k-algebraic set is a reduced scheme.

We operate, when we must operate at all openly, with the absolutely irreducible minimum of personal risk.

Absolutely irreducible is a term applied to mean irreducible, even after any finite extension of the field of coefficients.

Each absolutely irreducible algebraic variety V defined over K has a K-rational point.

As g(x, y) is an absolutely irreducible polynomial, this is an algebraic variety.

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.

Therefore, this algebraic variety consists of two lines intersecting at the origin and is not absolutely irreducible.