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primary decomposition

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 primary decomposition

Show relationship types (drawing only; the text lists are unaffected)
studied by (Observed provider relationships)Relationship label not yet available (Observed provider relationships)Relationship label not yet available (Observed provider relationships)part of (Observed provider relationships)Relationship label not yet available (Observed provider relationships)Relationship label not yet available (Observed provider relationships)instance of (Observed provider relationships)primary decomposition — Wikidata entity (Q172298)primarydecompositionWIKIDATA ENTITYalgebra — Wikidata entity (Q3968)algebraWIKIDATA ENTITYWikiProject Mathematics — Wikidata entity (Q8487137)WikiProjectMathematicsWIKIDATA ENTITYErnst Kummer — Wikidata entity (Q57245)Ernst KummerWIKIDATA ENTITYlist of theorems — Wikidata entity (Q944443)list of theoremsWIKIDATA ENTITYfundamental theorem of arithmetic — Wikidata entity (Q670235)fundamentaltheorem of…WIKIDATA ENTITYRichard Dedekind — Wikidata entity (Q76556)Richard DedekindWIKIDATA ENTITYtheorem — Wikidata entity (Q65943)theoremWIKIDATA 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 (8)

  • primary decomposition — Wikidata entity
    Technical details
    node_id
    wikidata:entity:Q172298
    stable_ref
    Q172298
    node_kind
    wikidata_entity
    plane
    provider_observed
    qid
    Q172298
    provider
    wikidata
    entity_href
    /entries/wikidata/Q172298
  • algebra — Wikidata entity
    Technical details
    node_id
    wikidata:entity:Q3968
    stable_ref
    Q3968
    node_kind
    wikidata_entity
    plane
    provider_observed
    qid
    Q3968
    provider
    wikidata
    entity_href
    /entries/wikidata/Q3968
  • 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
  • Ernst Kummer — Wikidata entity
    Technical details
    node_id
    wikidata:entity:Q57245
    stable_ref
    Q57245
    node_kind
    wikidata_entity
    plane
    provider_observed
    qid
    Q57245
    provider
    wikidata
    entity_href
    /entries/wikidata/Q57245
  • list of theorems — Wikidata entity
    Technical details
    node_id
    wikidata:entity:Q944443
    stable_ref
    Q944443
    node_kind
    wikidata_entity
    plane
    provider_observed
    qid
    Q944443
    provider
    wikidata
    entity_href
    /entries/wikidata/Q944443
  • fundamental theorem of arithmetic — Wikidata entity
    Technical details
    node_id
    wikidata:entity:Q670235
    stable_ref
    Q670235
    node_kind
    wikidata_entity
    plane
    provider_observed
    qid
    Q670235
    provider
    wikidata
    entity_href
    /entries/wikidata/Q670235
  • Richard Dedekind — Wikidata entity
    Technical details
    node_id
    wikidata:entity:Q76556
    stable_ref
    Q76556
    node_kind
    wikidata_entity
    plane
    provider_observed
    qid
    Q76556
    provider
    wikidata
    entity_href
    /entries/wikidata/Q76556
  • theorem — Wikidata entity
    Technical details
    node_id
    wikidata:entity:Q65943
    stable_ref
    Q65943
    node_kind
    wikidata_entity
    plane
    provider_observed
    qid
    Q65943
    provider
    wikidata
    entity_href
    /entries/wikidata/Q65943

Edges (7)

  • primary decomposition — studied by → algebra — Observed provider relationships
    Technical details
    machine_predicate
    P2579
    predicate_ref
    wikidata:property:P2579
    provider
    wikidata
    provider_direction
    outgoing
    plane
    provider_observed
    edge_id
    wikidata:relation:0:P2579
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • primary decomposition — 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
  • primary decomposition — Relationship label not yet available → Ernst Kummer — Observed provider relationships
    Technical details
    machine_predicate
    P61
    predicate_ref
    wikidata:property:P61
    provider
    wikidata
    provider_direction
    outgoing
    plane
    provider_observed
    edge_id
    wikidata:relation:2:P61
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • primary decomposition — part of → list of theorems — Observed provider relationships
    Technical details
    machine_predicate
    P361
    predicate_ref
    wikidata:property:P361
    provider
    wikidata
    provider_direction
    outgoing
    plane
    provider_observed
    edge_id
    wikidata:relation:3:P361
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • primary decomposition — Relationship label not yet available → fundamental theorem of arithmetic — Observed provider relationships
    Technical details
    machine_predicate
    P7719
    predicate_ref
    wikidata:property:P7719
    provider
    wikidata
    provider_direction
    outgoing
    plane
    provider_observed
    edge_id
    wikidata:relation:4:P7719
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • primary decomposition — Relationship label not yet available → Richard Dedekind — Observed provider relationships
    Technical details
    machine_predicate
    P61
    predicate_ref
    wikidata:property:P61
    provider
    wikidata
    provider_direction
    outgoing
    plane
    provider_observed
    edge_id
    wikidata:relation:5:P61
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • primary decomposition — instance of → theorem — 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:6:P31
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7

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    Unresolved references (0)

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