definition of kernel of linear map
Topics
About: module
The table of contents of this article
Starting Context
- The reader knows a definition of linear map.
Target Context
- The reader will have a definition of kernel of linear map.
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:
\( R\): \(\in \{\text{ the rings }\}\)
\( M_1\): \(\in \{\text{ the } R \text{ modules }\}\)
\( M_2\): \(\in \{\text{ the } R \text{ modules }\}\)
\( f\): \(: M_1 \to M_2\), \(\text{ the linear maps }\)
\(*Ker (f)\): \(= f^{-1} (0) \subseteq M_1\)
//
Conditions:
//
