satisfiesJacobiIdentity

P69850

predicate

Indicates that a given binary operation on elements of an algebraic structure obeys the Jacobi identity, i.e., the specific cyclic sum of nested operations always equals zero.

Try in SPARQL

All labels observed (2)

Label	Occurrences
satisfiesJacobiIdentity canonical	2
JacobiIdentity	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: satisfiesJacobiIdentity

Generated description

Indicates that a given binary operation on elements of an algebraic structure obeys the Jacobi identity, i.e., the specific cyclic sum of nested operations always equals zero.

Sample triples (3)

Subject	Object
Lie ring	true ⓘ
Lie bracket	[x,[y,z]] + [y,[z,x]] + [z,[x,y]] = 0 via predicate surface "JacobiIdentity" ⓘ
Poisson bracket	true ⓘ