theory in algebraic number theory
C45282
concept
A theory in algebraic number theory is a coherent framework of definitions, structures, and results that explains and predicts arithmetic properties of algebraic numbers and related objects such as number fields, ideals, and Galois groups.
All labels observed (2)
| Label | Occurrences |
|---|---|
| number-theoretic reciprocity law | 1 |
| theory in algebraic number theory 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: theory in algebraic number theory
Generated description
A theory in algebraic number theory is a coherent framework of definitions, structures, and results that explains and predicts arithmetic properties of algebraic numbers and related objects such as number fields, ideals, and Galois groups.
Instances (2)
| Instance | Via concept surface |
|---|---|
| Artin–Schreier theory | — |
| quartic reciprocity law | number-theoretic reciprocity law |