Wikimedia neighborhood · Wikidata observation Observed Graph-projection

commutative property

property of binary operations, for which changing the order of the operands does not change the result

Provider: Wikidata. These recorded connections are observations, not Counterpedia claims. They do not establish source support.

Data and provenance

Provider: Wikidata · Entity ID: Q165474

Release: sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7

Graph membership is not truth. Each relation below is an observed typed edge the local Wikimedia graph bundle already materialized — not a corroborated, verified, or admitted claim. Bounded to 40 relations via an offset-index lookup (offset_index_binary_search), never a full scan of the bundle.Serving a published subset: joined entities + 1-hop neighborhood of 35,994 exact Wikipedia–Wikidata title matches. A subject that is not itself in that subset carries only the relations the subset recorded for it, so a small count here is the published scope and not a complete relationship inventory.

Development requests are not available on this deployment. The observed entity and its graph links remain readable.

1-hop relations (24)

Observed adjacency only. Each spoke is a typed edge already materialized in the graph, labeled by its recorded predicate — graph proximity is not support, corroboration, or admission. The links below are the accessible, no-JavaScript path to the same neighbors.

Follow a connection

Grouped by a fixed presentation taxonomy for legibility only. The grouping asserts no rank, truth, support, or standing — every observed edge is carried, none reordered by importance.

Identity & relations (1)

→ instance of (P31)mathematical propertyObserved
Relationship details
Provider: Wikidata · Property: P31 · Direction: outgoing · Entity ID: Q3924032

Other connections (21)

→ Relationship name unavailable (P6104)WikiProject MathematicsObserved
Relationship details
Provider: Wikidata · Property: P6104 · Direction: outgoing · Entity ID: Q8487137
→ described at URL (P973)https://www.mathnasium.com/blog/commutative-property-guideObserved
Relationship details
Provider: Wikidata · Property: P973 · Direction: outgoing
→ described at URL (P973)https://www.splashlearn.com/math-vocabulary/addition/commutative-propertyObserved
Relationship details
Provider: Wikidata · Property: P973 · Direction: outgoing
→ described by source (P1343)Great Soviet Encyclopedia (1926–1947)Observed
Relationship details
Provider: Wikidata · Property: P1343 · Direction: outgoing · Entity ID: Q20078554
→ described at URL (P973)https://thirdspacelearning.com/us/math-resources/topic-guides/number-and-quantity/commutative-property/Observed
Relationship details
Provider: Wikidata · Property: P973 · Direction: outgoing
→ described by source (P1343)Armenian Soviet Encyclopedia, vol. 11Observed
Relationship details
Provider: Wikidata · Property: P1343 · Direction: outgoing · Entity ID: Q124355862
→ Relationship name unavailable (P2534)\forall x,y\colon x\star y=y\star xObserved
Relationship details
Provider: Wikidata · Property: P2534 · Direction: outgoing
→ described at URL (P973)https://www.math.net/commutative-propertyObserved
Relationship details
Provider: Wikidata · Property: P973 · Direction: outgoing
→ described at URL (P973)https://www.geeksforgeeks.org/maths/commutative-property/Observed
Relationship details
Provider: Wikidata · Property: P973 · Direction: outgoing
→ Relationship name unavailable (P1535)multiplicationObserved
Relationship details
Provider: Wikidata · Property: P1535 · Direction: outgoing · Entity ID: Q40276
→ Relationship name unavailable (P5008)Wikipedia:Vital articles/Level/4Observed
Relationship details
Provider: Wikidata · Property: P5008 · Direction: outgoing · Entity ID: Q6173448
→ Relationship name unavailable (P1535)additionObserved
Relationship details
Provider: Wikidata · Property: P1535 · Direction: outgoing · Entity ID: Q32043
→ described by source (P1343)Khan AcademyObserved
Relationship details
Provider: Wikidata · Property: P1343 · Direction: outgoing · Entity ID: Q94887
→ Relationship name unavailable (P4934)binary operatorObserved
Relationship details
Provider: Wikidata · Property: P4934 · Direction: outgoing · Entity ID: Q30242895
→ described at URL (P973)https://www.cuemath.com/numbers/commutative-property/Observed
Relationship details
Provider: Wikidata · Property: P973 · Direction: outgoing
→ described at URL (P973)https://sciencenotes.org/commutative-property-in-math-definition-and-examples/Observed
Relationship details
Provider: Wikidata · Property: P973 · Direction: outgoing
← Relationship name unavailable (P1552)symmetric monoidal categoryObserved
Relationship details
Provider: Wikidata · Property: P1552 · Direction: incoming · Entity ID: Q17103860
← Relationship name unavailable (P1552)abelian groupObserved
Relationship details
Provider: Wikidata · Property: P1552 · Direction: incoming · Entity ID: Q181296
← Relationship name unavailable (P1552)additionObserved
Relationship details
Provider: Wikidata · Property: P1552 · Direction: incoming · Entity ID: Q32043
← Relationship name unavailable (P1552)unionObserved
Relationship details
Provider: Wikidata · Property: P1552 · Direction: incoming · Entity ID: Q185359
← Relationship name unavailable (P1552)mathematical operationObserved
Relationship details
Provider: Wikidata · Property: P1552 · Direction: incoming · Entity ID: Q3884033

External identifiers (2)

→ image (P18)Commutativity of binary operations (without question mark).svgObserved
Relationship details
Provider: Wikidata · Property: P18 · Direction: outgoing
→ Commons category (P373)CommutativityObserved
Relationship details
Provider: Wikidata · Property: P373 · Direction: outgoing

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