Math 2.0

concept

Degree of a field extension

Summary

The degree of a field extension L/KL/K is the dimension of LL as a vector space over KK. It is written [L:K][L : K]. The definition of the degree 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)

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Sources

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