definition of kernel of ring homomorphism
Topics
About: ring
The table of contents of this article
Starting Context
- The reader knows a definition of ring.
Target Context
- The reader will have a definition of kernel of ring homomorphism.
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:
\( R_1\): \(\in \{\text{ the rings }\}\)
\( R_2\): \(\in \{\text{ the rings }\}\)
\( f\): \(: R_1 \to R_2\), \(\text{ the ring homomorphisms }\)
\(*Ker (f)\): \(= f^{-1} (0) \subseteq R_1\)
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Conditions:
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2: Note
Note that it is not "\(f^{-1} (1)\)".
