hasUnramifiedPrimes
P72934
predicate
Indicates that, in a given field extension or number-theoretic context, certain prime ideals remain unramified (i.e., do not exhibit ramification) in that extension.
All labels observed (2)
| Label | Occurrences |
|---|---|
| hasUnramifiedPrimes canonical | 1 |
| unramifiedAt | 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: hasUnramifiedPrimes
Generated description
Indicates that, in a given field extension or number-theoretic context, certain prime ideals remain unramified (i.e., do not exhibit ramification) in that extension.
Sample triples (2)
| Subject | Object |
|---|---|
|
cyclotomic fields
surface form:
cyclotomic field
|
primes not dividing n ⓘ |
| Hilbert class field | every nonzero prime ideal of the ring of integers of the base field via predicate surface "unramifiedAt" ⓘ |