definition of extended field of field
Topics
About: field
The table of contents of this article
Starting Context
- The reader knows a definition of field.
Target Context
- The reader will have a definition of extended field of field.
Orientation
There is a list of definitions discussed so far in this site.
There is a list of propositions discussed so far in this site.
Main Body
1: Structured Description
Here is the rules of Structured Description.
Entities:
\( F\): \(\in \{\text{ the fields }\}\)
\(*F'\): \(\in \{\text{ the fields }\}\)
//
Conditions:
\(F \subseteq F'\)
//
2: Note
There can be some multiple extended fields of \(F\).
For example, for \(F = \mathbb{Q}\), \(\mathbb{R}\) and \(\mathbb{C}\) are some extended fields of \(\mathbb{Q}\) among possible others.
