ramifiedPrime
P27194
predicate
Indicates that a prime number factors into repeated prime ideals in the ring of integers of a number field, showing that it ramifies in that extension.
All labels observed (3)
| Label | Occurrences |
|---|---|
| hasRamifiedPrimes | 1 |
| prime2Ramification | 1 |
| ramifiedPrime canonical | 1 |
Description generation (PDg)
The one-sentence description above was generated by prompting gpt-5.1 with the predicate name and this instruction.
Instruction
Given a predicate that represents a relationship or action between entities, generate a one-sentence description explaining its meaning. # Instructions Focus on describing the relationship, not the entities themselves. # Response Format Begin the description with \' Indicates...\'
Input
Predicate: ramifiedPrime
Generated description
Indicates that a prime number factors into repeated prime ideals in the ring of integers of a number field, showing that it ramifies in that extension.
Sample triples (3)
| Subject | Object |
|---|---|
| Gaussian integers | 2 = (1+i)² up to units ⓘ |
|
cyclotomic fields
surface form:
cyclotomic field
|
primes dividing n via predicate surface "hasRamifiedPrimes" ⓘ |
| Gaussian rationals ℚ(i) | 2 is ramified in ℚ(i) via predicate surface "prime2Ramification" ⓘ |