isCommutative

P19409
predicate

Indicates that the result of applying an operation to two entities does not depend on their order (i.e., a ∘ b = b ∘ a).

All labels observed (8)

Label Occurrences
commutesWith 14
isCommutative canonical 6
additionIsCommutative 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: isCommutative
Generated description
Indicates that the result of applying an operation to two entities does not depend on their order (i.e., a ∘ b = b ∘ a).

Sample triples (26)

Subject Object
Minkowski sum true ⓘ
Gaussian integers true via predicate surface "isCommutativeRingWithIdentity" ⓘ
Lie ring true via predicate surface "additionIsCommutative" ⓘ
Lie derivative exterior derivative on differential forms via predicate surface "commutesWith" ⓘ
Hamiltonian (time translation generator) spatial momentum operators in time-independent systems via predicate surface "commutesWith" ⓘ
AddRoundKey other XOR-based key additions on same state via predicate surface "commutesWith" ⓘ
Whitney sum true via predicate surface "isCommutativeUpToIsomorphism" ⓘ
Hadamard product (of power series) true ⓘ
Dirichlet convolution true ⓘ
dAlembert operator Poincaré transformations in Minkowski spacetime via predicate surface "commutesWith" ⓘ
Dirac Hamiltonian total angular momentum operator via predicate surface "commutesWith" ⓘ
U(1) true via predicate surface "isCommutativeLieGroup" ⓘ
Hodge Laplacian pullback by isometries via predicate surface "commutesWith" ⓘ
residual maker matrix hat matrix H via predicate surface "commutesWith" ⓘ
GF(p) true via predicate surface "isCommutativeUnderAddition" ⓘ
GF(p) true via predicate surface "isCommutativeUnderMultiplication" ⓘ
GF(p^m) true ⓘ
four-momentum operator itself at different components up to structure constants via predicate surface "commutesWith" ⓘ
Pauli–Lubanski pseudovector four-momentum operator in an irreducible representation via predicate surface "commutesWith" ⓘ
T : z ↦ z + 1
linked to: T:z ↦ z+1
all integer translations z ↦ z + n via predicate surface "commutesWith" ⓘ
Riesz transforms translations on R^n via predicate surface "commutesWith" ⓘ
Riesz transforms dilations on R^n via predicate surface "commutesWith" ⓘ
Riesz projection the operator T via predicate surface "commutesWith" ⓘ
Frobenius endomorphism base change to algebraic closures in characteristic p via predicate surface "commutesWith" ⓘ
Jacobian variety
linked to: Jacobian varieties
true ⓘ
Bose–Mesner algebra true ⓘ