Algebraic Number (Noun)
Meaning
Root of an algebraic equation with rational coefficients.
Classification
Nouns denoting quantities and units of measure.
Examples
- A complex number is an algebraic number if it is a root of some algebraic equation with rational coefficients.
- In abstract algebra, an algebraic number is a complex number that is a root of an algebraic equation with rational coefficients.
- Galois theory establishes a connection between an algebraic number and the group of automorphisms of its associated algebraic extension.
- The sum and product of algebraic numbers that are roots of the same algebraic equation with rational coefficients is again an algebraic number.
- From an algebraic point of view, an algebraic number is a root of an algebraic equation with rational coefficients.