notClosedUnder
P27186
predicate
Indicates that applying the operation or relation to elements of a set can produce results that do not belong to that set, so the set is not closed under that operation or relation.
All labels observed (2)
| Label | Occurrences |
|---|---|
| notClosedUnder canonical | 4 |
| nonClosureProperty | 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: notClosedUnder
Generated description
Indicates that applying the operation or relation to elements of a set can produce results that do not belong to that set, so the set is not closed under that operation or relation.
Sample triples (5)
| Subject | Object |
|---|---|
| Gaussian integers | division ⓘ |
| Noetherian module | arbitrary direct sums ⓘ |
|
Hausdorff space
linked to:
Hausdorff
|
quotients of Hausdorff spaces need not be Hausdorff via predicate surface "nonClosureProperty" ⓘ |
|
Liouville number
linked to:
Liouville numbers
|
addition of two Liouville numbers in general ⓘ |
|
Liouville number
linked to:
Liouville numbers
|
multiplication of two Liouville numbers in general ⓘ |