isLocallyPrincipal

P182787
predicate

Indicates that an ideal (or similar structure) can be generated by a single element after localizing at each relevant point or prime, i.e., it becomes principal in every local setting.

All labels observed (1)

Label Occurrences
isLocallyPrincipal 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: isLocallyPrincipal
Generated description
Indicates that an ideal (or similar structure) can be generated by a single element after localizing at each relevant point or prime, i.e., it becomes principal in every local setting.

Sample triples (1)

Subject Object
Cartier divisor yes