ring homomorphism
C37053
concept
A ring homomorphism is a function between rings that preserves addition, multiplication, and the multiplicative identity (when present), mapping the structure of one ring compatibly into another.
All labels observed (4)
| Label | Occurrences |
|---|---|
| algebra homomorphism | 1 |
| field endomorphism | 1 |
| ring endomorphism | 1 |
| ring homomorphism canonical | 1 |
Description generation (CDg)
The one-sentence description above was generated by prompting gpt-5.1 with the class name and this instruction.
Instruction
generate a one-sentence description for a given conceptual class. # Response Format Return only the sentence: "Description: [one-sentence description of the conceptional class]"
Input
Class: ring homomorphism
Generated description
A ring homomorphism is a function between rings that preserves addition, multiplication, and the multiplicative identity (when present), mapping the structure of one ring compatibly into another.
Instances (3)
| Instance | Via concept surface |
|---|---|
| Chern character | — |
| Frobenius endomorphism | ring endomorphism |
| Harish-Chandra projection | algebra homomorphism |