Stufe (Algebra)

The stage is a concept from the mathematical field of algebra or its subfield of field theory. It indicates the number of squares that must be at least add up to represent the number can.

Definition

Be a body. May be the sum of squares shown in, then it is called the smallest integer such that the sum of squares is the step of. If can not be represented as a sum of squares, so it sets.

Properties

• If a non - real body, then the level of is finite.

• For a non - real field is valid for one.

• It applies to all body positive characteristic.