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commutative property

Relationships observed in Wikidata. Connections do not establish verification or source support.

Release: sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7

Provider: Wikidata · graph projection only.

OBSERVED · GRAPH-PROJECTION · NOT ADMITTED · NOT VERIFIED · NOT SUPPORT

Edge identity is the provider property id (for example P31). It is not a Counterpedia predicate.

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

Relationships of commutative property

Show relationship types (drawing only; the text lists are unaffected)
instance of (Observed provider relationships)Relationship label not yet available (Observed provider relationships)described at URL (Observed provider relationships)described at URL (Observed provider relationships)described by source (Observed provider relationships)described at URL (Observed provider relationships)described by source (Observed provider relationships)Relationship label not yet available (Observed provider relationships)described at URL (Observed provider relationships)described at URL (Observed provider relationships)Relationship label not yet available (Observed provider relationships)image (Observed provider relationships)Relationship label not yet available (Observed provider relationships)Relationship label not yet available (Observed provider relationships)described by source (Observed provider relationships)Relationship label not yet available (Observed provider relationships)described at URL (Observed provider relationships)Commons category (Observed provider relationships)described at URL (Observed provider relationships)Relationship label not yet available (Observed provider relationships)Relationship label not yet available (Observed provider relationships)Relationship label not yet available (Observed provider relationships)Relationship label not yet available (Observed provider relationships)Relationship label not yet available (Observed provider relationships)commutative property — Wikidata entity (Q165474)commutativepropertyWIKIDATA ENTITYmathematical property — Wikidata entity (Q3924032)mathematicalpropertyWIKIDATA ENTITYWikiProject Mathematics — Wikidata entity (Q8487137)WikiProjectMathematicsWIKIDATA ENTITYhttps://www.mathnasium.com/blog/commutative-property-guide — Literal value (wikidata:literal:2:https://www.mathnasium.com/blog/commutative-property-guide)https://www.mathnasium.com/blog…LITERAL VALUEhttps://www.splashlearn.com/math-vocabulary/addition/commutative-property — Literal value (wikidata:literal:3:https://www.splashlearn.com/math-vocabulary/addition/commutative-property)https://www.splashlearn.com/mat…LITERAL VALUEGreat Soviet Encyclopedia (1926–1947) — Wikidata entity (Q20078554)Great SovietEncyclopedia…WIKIDATA ENTITYhttps://thirdspacelearning.com/us/math-resources/topic-guides/number-and-quantity/commutative-property/ — Literal value (wikidata:literal:5:https://thirdspacelearning.com/us/math-resources/topic-guides/number-and-quantity/commutative-property/)https://thirdspacelearning.com/…LITERAL VALUEArmenian Soviet Encyclopedia, vol. 11 — Wikidata entity (Q124355862)Armenian SovietEncyclopedia,…WIKIDATA ENTITY\forall x,y\colon x\star y=y\star x — Literal value (wikidata:literal:7:\forall x,y\colon x\star y=y\star x)\forallx,y\colon x\sta…LITERAL VALUEhttps://www.math.net/commutative-property — Literal value (wikidata:literal:8:https://www.math.net/commutative-property)https://www.math.net/commutativ…LITERAL VALUEhttps://www.geeksforgeeks.org/maths/commutative-property/ — Literal value (wikidata:literal:9:https://www.geeksforgeeks.org/maths/commutative-property/)https://www.geeksforgeeks.org/m…LITERAL VALUEmultiplication — Wikidata entity (Q40276)multiplicationWIKIDATA ENTITYCommutativity of binary operations (without question mark).svg — Literal value (wikidata:literal:11:Commutativity of binary operations (without question mark).svg)Commutativity ofbinary…LITERAL VALUEWikipedia:Vital articles/Level/4 — Wikidata entity (Q6173448)Wikipedia:Vitalarticles/Level/4WIKIDATA ENTITYaddition — Wikidata entity (Q32043)additionWIKIDATA ENTITYKhan Academy — Wikidata entity (Q94887)Khan AcademyWIKIDATA ENTITYbinary operator — Wikidata entity (Q30242895)binary operatorWIKIDATA ENTITYhttps://www.cuemath.com/numbers/commutative-property/ — Literal value (wikidata:literal:16:https://www.cuemath.com/numbers/commutative-property/)https://www.cuemath.com/numbers…LITERAL VALUECommutativity — Literal value (wikidata:literal:17:Commutativity)CommutativityLITERAL VALUEhttps://sciencenotes.org/commutative-property-in-math-definition-and-examples/ — Literal value (wikidata:literal:18:https://sciencenotes.org/commutative-property-in-math-definition-and-examples/)https://sciencenotes.org/commut…LITERAL VALUEsymmetric monoidal category — Wikidata entity (Q17103860)symmetricmonoidal…WIKIDATA ENTITYabelian group — Wikidata entity (Q181296)abelian groupWIKIDATA ENTITYunion — Wikidata entity (Q185359)unionWIKIDATA ENTITYmathematical operation — Wikidata entity (Q3884033)mathematicaloperationWIKIDATA ENTITY

Legend

  • Governed record relationships (solid)
  • Countergraph traversal (dashed)
  • Countergraph evidence (dotted)
  • Observed provider relationships (dash-dot)
  • Structurally derived (sparse dots)

Node shape identifies node kind only. Size, color, and position carry no meaning beyond hop distance from the root.

A line means a supported artifact carried an explicit structured relation. It does not mean the relation is true, admitted, verified, or authoritative.

Graph as text

Nodes (24)

  • commutative property — Wikidata entity
    Technical details
    node_id
    wikidata:entity:Q165474
    stable_ref
    Q165474
    node_kind
    wikidata_entity
    plane
    provider_observed
    qid
    Q165474
    provider
    wikidata
    entity_href
    /entries/wikidata/Q165474
  • mathematical property — Wikidata entity
    Technical details
    node_id
    wikidata:entity:Q3924032
    stable_ref
    Q3924032
    node_kind
    wikidata_entity
    plane
    provider_observed
    qid
    Q3924032
    provider
    wikidata
    entity_href
    /entries/wikidata/Q3924032
  • WikiProject Mathematics — Wikidata entity
    Technical details
    node_id
    wikidata:entity:Q8487137
    stable_ref
    Q8487137
    node_kind
    wikidata_entity
    plane
    provider_observed
    qid
    Q8487137
    provider
    wikidata
    entity_href
    /entries/wikidata/Q8487137
  • https://www.mathnasium.com/blog/commutative-property-guide — Literal value
    Technical details
    node_id
    wikidata:literal:2:https://www.mathnasium.com/blog/commutative-property-guide
    stable_ref
    wikidata:literal:2:https://www.mathnasium.com/blog/commutative-property-guide
    node_kind
    wikidata_literal
    plane
    provider_observed
  • https://www.splashlearn.com/math-vocabulary/addition/commutative-property — Literal value
    Technical details
    node_id
    wikidata:literal:3:https://www.splashlearn.com/math-vocabulary/addition/commutative-property
    stable_ref
    wikidata:literal:3:https://www.splashlearn.com/math-vocabulary/addition/commutative-property
    node_kind
    wikidata_literal
    plane
    provider_observed
  • Great Soviet Encyclopedia (1926–1947) — Wikidata entity
    Technical details
    node_id
    wikidata:entity:Q20078554
    stable_ref
    Q20078554
    node_kind
    wikidata_entity
    plane
    provider_observed
    qid
    Q20078554
    provider
    wikidata
    entity_href
    /entries/wikidata/Q20078554
  • https://thirdspacelearning.com/us/math-resources/topic-guides/number-and-quantity/commutative-property/ — Literal value
    Technical details
    node_id
    wikidata:literal:5:https://thirdspacelearning.com/us/math-resources/topic-guides/number-and-quantity/commutative-property/
    stable_ref
    wikidata:literal:5:https://thirdspacelearning.com/us/math-resources/topic-guides/number-and-quantity/commutative-property/
    node_kind
    wikidata_literal
    plane
    provider_observed
  • Armenian Soviet Encyclopedia, vol. 11 — Wikidata entity
    Technical details
    node_id
    wikidata:entity:Q124355862
    stable_ref
    Q124355862
    node_kind
    wikidata_entity
    plane
    provider_observed
    qid
    Q124355862
    provider
    wikidata
    entity_href
    /entries/wikidata/Q124355862
  • \forall x,y\colon x\star y=y\star x — Literal value
    Technical details
    node_id
    wikidata:literal:7:\forall x,y\colon x\star y=y\star x
    stable_ref
    wikidata:literal:7:\forall x,y\colon x\star y=y\star x
    node_kind
    wikidata_literal
    plane
    provider_observed
  • https://www.math.net/commutative-property — Literal value
    Technical details
    node_id
    wikidata:literal:8:https://www.math.net/commutative-property
    stable_ref
    wikidata:literal:8:https://www.math.net/commutative-property
    node_kind
    wikidata_literal
    plane
    provider_observed
  • https://www.geeksforgeeks.org/maths/commutative-property/ — Literal value
    Technical details
    node_id
    wikidata:literal:9:https://www.geeksforgeeks.org/maths/commutative-property/
    stable_ref
    wikidata:literal:9:https://www.geeksforgeeks.org/maths/commutative-property/
    node_kind
    wikidata_literal
    plane
    provider_observed
  • multiplication — Wikidata entity
    Technical details
    node_id
    wikidata:entity:Q40276
    stable_ref
    Q40276
    node_kind
    wikidata_entity
    plane
    provider_observed
    qid
    Q40276
    provider
    wikidata
    entity_href
    /entries/wikidata/Q40276
  • Commutativity of binary operations (without question mark).svg — Literal value
    Technical details
    node_id
    wikidata:literal:11:Commutativity of binary operations (without question mark).svg
    stable_ref
    wikidata:literal:11:Commutativity of binary operations (without question mark).svg
    node_kind
    wikidata_literal
    plane
    provider_observed
  • Wikipedia:Vital articles/Level/4 — Wikidata entity
    Technical details
    node_id
    wikidata:entity:Q6173448
    stable_ref
    Q6173448
    node_kind
    wikidata_entity
    plane
    provider_observed
    qid
    Q6173448
    provider
    wikidata
    entity_href
    /entries/wikidata/Q6173448
  • addition — Wikidata entity
    Technical details
    node_id
    wikidata:entity:Q32043
    stable_ref
    Q32043
    node_kind
    wikidata_entity
    plane
    provider_observed
    qid
    Q32043
    provider
    wikidata
    entity_href
    /entries/wikidata/Q32043
  • Khan Academy — Wikidata entity
    Technical details
    node_id
    wikidata:entity:Q94887
    stable_ref
    Q94887
    node_kind
    wikidata_entity
    plane
    provider_observed
    qid
    Q94887
    provider
    wikidata
    entity_href
    /entries/wikidata/Q94887
  • binary operator — Wikidata entity
    Technical details
    node_id
    wikidata:entity:Q30242895
    stable_ref
    Q30242895
    node_kind
    wikidata_entity
    plane
    provider_observed
    qid
    Q30242895
    provider
    wikidata
    entity_href
    /entries/wikidata/Q30242895
  • https://www.cuemath.com/numbers/commutative-property/ — Literal value
    Technical details
    node_id
    wikidata:literal:16:https://www.cuemath.com/numbers/commutative-property/
    stable_ref
    wikidata:literal:16:https://www.cuemath.com/numbers/commutative-property/
    node_kind
    wikidata_literal
    plane
    provider_observed
  • Commutativity — Literal value
    Technical details
    node_id
    wikidata:literal:17:Commutativity
    stable_ref
    wikidata:literal:17:Commutativity
    node_kind
    wikidata_literal
    plane
    provider_observed
  • https://sciencenotes.org/commutative-property-in-math-definition-and-examples/ — Literal value
    Technical details
    node_id
    wikidata:literal:18:https://sciencenotes.org/commutative-property-in-math-definition-and-examples/
    stable_ref
    wikidata:literal:18:https://sciencenotes.org/commutative-property-in-math-definition-and-examples/
    node_kind
    wikidata_literal
    plane
    provider_observed
  • symmetric monoidal category — Wikidata entity
    Technical details
    node_id
    wikidata:entity:Q17103860
    stable_ref
    Q17103860
    node_kind
    wikidata_entity
    plane
    provider_observed
    qid
    Q17103860
    provider
    wikidata
    entity_href
    /entries/wikidata/Q17103860
  • abelian group — Wikidata entity
    Technical details
    node_id
    wikidata:entity:Q181296
    stable_ref
    Q181296
    node_kind
    wikidata_entity
    plane
    provider_observed
    qid
    Q181296
    provider
    wikidata
    entity_href
    /entries/wikidata/Q181296
  • union — Wikidata entity
    Technical details
    node_id
    wikidata:entity:Q185359
    stable_ref
    Q185359
    node_kind
    wikidata_entity
    plane
    provider_observed
    qid
    Q185359
    provider
    wikidata
    entity_href
    /entries/wikidata/Q185359
  • mathematical operation — Wikidata entity
    Technical details
    node_id
    wikidata:entity:Q3884033
    stable_ref
    Q3884033
    node_kind
    wikidata_entity
    plane
    provider_observed
    qid
    Q3884033
    provider
    wikidata
    entity_href
    /entries/wikidata/Q3884033

Edges (24)

  • commutative property — instance of → mathematical property — Observed provider relationships
    Technical details
    machine_predicate
    P31
    predicate_ref
    wikidata:property:P31
    provider
    wikidata
    provider_direction
    outgoing
    plane
    provider_observed
    edge_id
    wikidata:relation:0:P31
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • commutative property — Relationship label not yet available → WikiProject Mathematics — Observed provider relationships
    Technical details
    machine_predicate
    P6104
    predicate_ref
    wikidata:property:P6104
    provider
    wikidata
    provider_direction
    outgoing
    plane
    provider_observed
    edge_id
    wikidata:relation:1:P6104
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • commutative property — described at URL → https://www.mathnasium.com/blog/commutative-property-guide — Observed provider relationships
    Technical details
    machine_predicate
    P973
    predicate_ref
    wikidata:property:P973
    provider
    wikidata
    provider_direction
    outgoing
    plane
    provider_observed
    edge_id
    wikidata:relation:2:P973
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • commutative property — described at URL → https://www.splashlearn.com/math-vocabulary/addition/commutative-property — Observed provider relationships
    Technical details
    machine_predicate
    P973
    predicate_ref
    wikidata:property:P973
    provider
    wikidata
    provider_direction
    outgoing
    plane
    provider_observed
    edge_id
    wikidata:relation:3:P973
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • commutative property — described by source → Great Soviet Encyclopedia (1926–1947) — Observed provider relationships
    Technical details
    machine_predicate
    P1343
    predicate_ref
    wikidata:property:P1343
    provider
    wikidata
    provider_direction
    outgoing
    plane
    provider_observed
    edge_id
    wikidata:relation:4:P1343
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • commutative property — described at URL → https://thirdspacelearning.com/us/math-resources/topic-guides/number-and-quantity/commutative-property/ — Observed provider relationships
    Technical details
    machine_predicate
    P973
    predicate_ref
    wikidata:property:P973
    provider
    wikidata
    provider_direction
    outgoing
    plane
    provider_observed
    edge_id
    wikidata:relation:5:P973
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • commutative property — described by source → Armenian Soviet Encyclopedia, vol. 11 — Observed provider relationships
    Technical details
    machine_predicate
    P1343
    predicate_ref
    wikidata:property:P1343
    provider
    wikidata
    provider_direction
    outgoing
    plane
    provider_observed
    edge_id
    wikidata:relation:6:P1343
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • commutative property — Relationship label not yet available → \forall x,y\colon x\star y=y\star x — Observed provider relationships
    Technical details
    machine_predicate
    P2534
    predicate_ref
    wikidata:property:P2534
    provider
    wikidata
    provider_direction
    outgoing
    plane
    provider_observed
    edge_id
    wikidata:relation:7:P2534
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • commutative property — described at URL → https://www.math.net/commutative-property — Observed provider relationships
    Technical details
    machine_predicate
    P973
    predicate_ref
    wikidata:property:P973
    provider
    wikidata
    provider_direction
    outgoing
    plane
    provider_observed
    edge_id
    wikidata:relation:8:P973
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • commutative property — described at URL → https://www.geeksforgeeks.org/maths/commutative-property/ — Observed provider relationships
    Technical details
    machine_predicate
    P973
    predicate_ref
    wikidata:property:P973
    provider
    wikidata
    provider_direction
    outgoing
    plane
    provider_observed
    edge_id
    wikidata:relation:9:P973
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • commutative property — Relationship label not yet available → multiplication — Observed provider relationships
    Technical details
    machine_predicate
    P1535
    predicate_ref
    wikidata:property:P1535
    provider
    wikidata
    provider_direction
    outgoing
    plane
    provider_observed
    edge_id
    wikidata:relation:10:P1535
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • commutative property — image → Commutativity of binary operations (without question mark).svg — Observed provider relationships
    Technical details
    machine_predicate
    P18
    predicate_ref
    wikidata:property:P18
    provider
    wikidata
    provider_direction
    outgoing
    plane
    provider_observed
    edge_id
    wikidata:relation:11:P18
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • commutative property — Relationship label not yet available → Wikipedia:Vital articles/Level/4 — Observed provider relationships
    Technical details
    machine_predicate
    P5008
    predicate_ref
    wikidata:property:P5008
    provider
    wikidata
    provider_direction
    outgoing
    plane
    provider_observed
    edge_id
    wikidata:relation:12:P5008
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • commutative property — Relationship label not yet available → addition — Observed provider relationships
    Technical details
    machine_predicate
    P1535
    predicate_ref
    wikidata:property:P1535
    provider
    wikidata
    provider_direction
    outgoing
    plane
    provider_observed
    edge_id
    wikidata:relation:13:P1535
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • commutative property — described by source → Khan Academy — Observed provider relationships
    Technical details
    machine_predicate
    P1343
    predicate_ref
    wikidata:property:P1343
    provider
    wikidata
    provider_direction
    outgoing
    plane
    provider_observed
    edge_id
    wikidata:relation:14:P1343
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • commutative property — Relationship label not yet available → binary operator — Observed provider relationships
    Technical details
    machine_predicate
    P4934
    predicate_ref
    wikidata:property:P4934
    provider
    wikidata
    provider_direction
    outgoing
    plane
    provider_observed
    edge_id
    wikidata:relation:15:P4934
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • commutative property — described at URL → https://www.cuemath.com/numbers/commutative-property/ — Observed provider relationships
    Technical details
    machine_predicate
    P973
    predicate_ref
    wikidata:property:P973
    provider
    wikidata
    provider_direction
    outgoing
    plane
    provider_observed
    edge_id
    wikidata:relation:16:P973
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • commutative property — Commons category → Commutativity — Observed provider relationships
    Technical details
    machine_predicate
    P373
    predicate_ref
    wikidata:property:P373
    provider
    wikidata
    provider_direction
    outgoing
    plane
    provider_observed
    edge_id
    wikidata:relation:17:P373
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • commutative property — described at URL → https://sciencenotes.org/commutative-property-in-math-definition-and-examples/ — Observed provider relationships
    Technical details
    machine_predicate
    P973
    predicate_ref
    wikidata:property:P973
    provider
    wikidata
    provider_direction
    outgoing
    plane
    provider_observed
    edge_id
    wikidata:relation:18:P973
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • symmetric monoidal category — Relationship label not yet available → commutative property — Observed provider relationships
    Technical details
    machine_predicate
    P1552
    predicate_ref
    wikidata:property:P1552
    provider
    wikidata
    provider_direction
    incoming
    plane
    provider_observed
    edge_id
    wikidata:relation:19:P1552
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • abelian group — Relationship label not yet available → commutative property — Observed provider relationships
    Technical details
    machine_predicate
    P1552
    predicate_ref
    wikidata:property:P1552
    provider
    wikidata
    provider_direction
    incoming
    plane
    provider_observed
    edge_id
    wikidata:relation:20:P1552
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • addition — Relationship label not yet available → commutative property — Observed provider relationships
    Technical details
    machine_predicate
    P1552
    predicate_ref
    wikidata:property:P1552
    provider
    wikidata
    provider_direction
    incoming
    plane
    provider_observed
    edge_id
    wikidata:relation:21:P1552
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • union — Relationship label not yet available → commutative property — Observed provider relationships
    Technical details
    machine_predicate
    P1552
    predicate_ref
    wikidata:property:P1552
    provider
    wikidata
    provider_direction
    incoming
    plane
    provider_observed
    edge_id
    wikidata:relation:22:P1552
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • mathematical operation — Relationship label not yet available → commutative property — Observed provider relationships
    Technical details
    machine_predicate
    P1552
    predicate_ref
    wikidata:property:P1552
    provider
    wikidata
    provider_direction
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