isAlgebraicOver
P72957
predicate
Indicates that one mathematical object satisfies a nontrivial polynomial equation whose coefficients lie in the other object (typically a field or ring), expressing algebraic dependence over that base.
All labels observed (2)
| Label | Occurrences |
|---|---|
| isAlgebraicOver canonical | 2 |
| isAlgebraicFunctionOf | 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: isAlgebraicOver
Generated description
Indicates that one mathematical object satisfies a nontrivial polynomial equation whose coefficients lie in the other object (typically a field or ring), expressing algebraic dependence over that base.
Sample triples (3)
| Subject | Object |
|---|---|
| Gaussian rationals ℚ(i) | ℚ ⓘ |
| GF(p^m) | GF(p) ⓘ |
| modular j-invariant | lambda modular function on appropriate covers via predicate surface "isAlgebraicFunctionOf" ⓘ |