basicOpenSetsOnSpecR
P74063
predicate
Indicates that the relation associates to a ring \(R\) the collection of its standard basic open subsets in the prime spectrum \(\mathrm{Spec}(R)\), typically those of the form \(D(f)\) for elements \(f \in R\).
All labels observed (1)
| Label | Occurrences |
|---|---|
| basicOpenSetsOnSpecR 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: basicOpenSetsOnSpecR
Generated description
Indicates that the relation associates to a ring \(R\) the collection of its standard basic open subsets in the prime spectrum \(\mathrm{Spec}(R)\), typically those of the form \(D(f)\) for elements \(f \in R\).
Sample triples (1)
| Subject | Object |
|---|---|
| Zariski topology | D(f) = Spec(R) \ V(f) for f in R ⓘ |