hasCoefficientRing
P77175
predicate
Indicates that one mathematical structure (typically an algebra or module) is defined over, and takes its scalar values from, a specified ring that serves as its coefficient ring.
All labels observed (4)
| Label | Occurrences |
|---|---|
| coefficientRing | 4 |
| typicalCoefficientRing | 3 |
| hasCoefficientField | 1 |
| hasCoefficientRing 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: hasCoefficientRing
Generated description
Indicates that one mathematical structure (typically an algebra or module) is defined over, and takes its scalar values from, a specified ring that serves as its coefficient ring.
Sample triples (9)
| Subject | Object |
|---|---|
| Jones polynomial | integers ⓘ |
| étale cohomology | finite abelian group via predicate surface "typicalCoefficientRing" ⓘ |
| étale cohomology | ℓ-adic integers via predicate surface "typicalCoefficientRing" ⓘ |
| étale cohomology | ℚℓ via predicate surface "typicalCoefficientRing" ⓘ |
| Levi-Civita field | real numbers via predicate surface "hasCoefficientField" ⓘ |
| Khovanov homology | integers via predicate surface "coefficientRing" ⓘ |
| Khovanov homology | finite fields via predicate surface "coefficientRing" ⓘ |
| Khovanov homology | rational numbers via predicate surface "coefficientRing" ⓘ |
| Stiefel–Whitney classes | Z2 via predicate surface "coefficientRing" ⓘ |