@prefix p: <http://www.wikidata.org/prop/> .
@prefix rdfs: <http://www.w3.org/2000/01/rdf-schema#> .
@prefix schema1: <http://schema.org/> .
@prefix skos: <http://www.w3.org/2004/02/skos/core#> .
@prefix wd: <http://www.wikidata.org/entity/> .
@prefix wds: <http://www.wikidata.org/entity/statement/> .
@prefix wdt: <http://www.wikidata.org/prop/direct/> .
@prefix wdtn: <http://www.wikidata.org/prop/direct-normalized/> .
@prefix wikibase: <http://wikiba.se/ontology#> .
@prefix xsd: <http://www.w3.org/2001/XMLSchema#> .

wd:Q7239170 rdfs:label "Prä-Lie-Algebra"@de,
        "pre-Lie algebra"@en,
        "pra-Lie-alĝebro"@eo,
        "前リー代数"@ja,
        "လီ-အကြို အက္ခရာသင်္ချာ"@my,
        "Ön-Lie cebiri"@tr ;
    schema1:dateModified "2026-09-08T12:41:33+00:00"^^xsd:dateTime ;
    schema1:description "possibly non-associative algebra in which the associator is invariant under the exchange of the two latter arguments, which implies that the commutator obeys the Jacobi identity"@en,
        "alĝebro, kies asociilo estas simetra je la permuto de la dua kaj tria argumentoj, kio implicas, ke la komutilo obeas la identaĵon de Jacobi"@eo ;
    schema1:version 2542248382 ;
    wikibase:identifiers 3 ;
    wikibase:sitelinks 3 ;
    wikibase:statements 6 ;
    skos:altLabel "Koszul-Winberg-Algebra"@de,
        "Koszul-Vinberg algebra"@en,
        "Vinberg algebra"@en,
        "left-symmetric algebra"@en,
        "right-symmetric algebra"@en ;
    p:P2534 wds:Q7239170-ccf3f51c-48ea-5525-8609-32d0d5617086 ;
    p:P279 wds:Q7239170-34ca32cb-4a7e-a9a1-771f-5fb92ba8d9ae ;
    p:P4215 wds:Q7239170-935D5AFD-0B6B-4E5B-BFB3-AC7FC0B10215 ;
    p:P6366 wds:Q7239170-6EC6E251-23D1-4768-9F7A-00532F3FF05E ;
    p:P646 wds:Q7239170-73F31D2D-1ADD-49AD-B93D-418C3C56584A ;
    p:P7235 wds:Q7239170-f99004b5-40df-1678-fae9-587add647746 ;
    wdtn:P6366 <https://makg.org/entity/2780419923> ;
    wdt:P2534 "<math class=\"mwe-math-element mwe-math-element-inline\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow data-mjx-texclass=\"ORD\"><mstyle displaystyle=\"true\" scriptlevel=\"0\"><mo stretchy=\"false\">(</mo><mi>x</mi><mo stretchy=\"false\">◃</mo><mi>y</mi><mo stretchy=\"false\">)</mo><mo stretchy=\"false\">◃</mo><mi>z</mi><mo stretchy=\"false\">−</mo><mi>x</mi><mo stretchy=\"false\">◃</mo><mo stretchy=\"false\">(</mo><mi>y</mi><mo stretchy=\"false\">◃</mo><mi>z</mi><mo stretchy=\"false\">)</mo><mo stretchy=\"false\">=</mo><mo stretchy=\"false\">(</mo><mi>x</mi><mo stretchy=\"false\">◃</mo><mi>z</mi><mo stretchy=\"false\">)</mo><mo stretchy=\"false\">◃</mo><mi>y</mi><mo stretchy=\"false\">−</mo><mi>x</mi><mo stretchy=\"false\">◃</mo><mo stretchy=\"false\">(</mo><mi>z</mi><mo stretchy=\"false\">◃</mo><mi>y</mi><mo stretchy=\"false\">)</mo></mstyle></mrow></math>"^^<http://www.w3.org/1998/Math/MathML> ;
    wdt:P279 wd:Q1000660 ;
    wdt:P4215 "pre-Lie algebra" ;
    wdt:P6366 "2780419923" ;
    wdt:P646 "/m/0gfjm6w" ;
    wdt:P7235 "<math class=\"mwe-math-element mwe-math-element-inline\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow data-mjx-texclass=\"ORD\"><mstyle displaystyle=\"true\" scriptlevel=\"0\"><mo stretchy=\"false\">(</mo><mi>x</mi><mo stretchy=\"false\">◃</mo><mi>y</mi><mo stretchy=\"false\">)</mo><mo stretchy=\"false\">◃</mo><mi>z</mi><mo stretchy=\"false\">−</mo><mi>x</mi><mo stretchy=\"false\">◃</mo><mo stretchy=\"false\">(</mo><mi>y</mi><mo stretchy=\"false\">◃</mo><mi>z</mi><mo stretchy=\"false\">)</mo></mstyle></mrow></math>"^^<http://www.w3.org/1998/Math/MathML> .

