nLab
field extension

Contents

Idea

If a subset kk of a field KK is a subfield, then we call the larger field KK an extension of the smaller field kk.

More generally, if kKk \to K is any ring homomorphism between fields, then it must be an injection, so we may treat it as a field extension.

Revised on December 9, 2013 05:53:49 by Urs Schreiber (89.204.139.250)