isPerfectField
P159155
predicate
Indicates that a given field has the property that every algebraic extension is separable, equivalently that every element’s p-th root exists in the field when it has characteristic p > 0.
All labels observed (1)
| Label | Occurrences |
|---|---|
| isPerfectField canonical | 2 |
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: isPerfectField
Generated description
Indicates that a given field has the property that every algebraic extension is separable, equivalently that every element’s p-th root exists in the field when it has characteristic p > 0.