Math 2.0

concept

Splitting field

Summary

A splitting field of a polynomial over a field is a smallest extension field over which the polynomial splits into linear factors. It is generated by the roots of the polynomial. The definition of a splitting field states it.

What this node needs for W2
  • edge instance_of in: at least two examples (0 of 2)
  • edge not_instance_of in: at least one non-example (0 of 1)
  • edge specializes both: the more general notions and the special cases (0 of 1)

The writing levels say how complete the text of a node is. They do not measure its truth.

Sources

  1. Web https://en.wikipedia.org/wiki/Splitting_field, lead section

What links here

Definitions