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.

Properties

Revised on July 23, 2014 22:22:56 by Urs Schreiber (89.204.130.84)