@prefix psr: <http://data.loterre.fr/ark:/67375/PSR> .
@prefix skos: <http://www.w3.org/2004/02/skos/core#> .
@prefix dc: <http://purl.org/dc/terms/> .
@prefix xsd: <http://www.w3.org/2001/XMLSchema#> .

psr:-DG57JJ6T-P
  skos:prefLabel "algèbre de Jordan"@fr, "Jordan algebra"@en ;
  a skos:Concept ;
  skos:broader psr:-F1B5QL5S-0 .

psr:-GD2PCT10-B
  skos:prefLabel "sédénion"@fr, "sedenion"@en ;
  a skos:Concept ;
  skos:broader psr:-F1B5QL5S-0 .

psr:-L08QXVJJ-6
  skos:prefLabel "structurable algebra"@en, "algèbre structurable"@fr ;
  a skos:Concept ;
  skos:broader psr:-F1B5QL5S-0 .

psr:-BV2VH70S-1
  skos:prefLabel "algèbre de composition"@fr, "composition algebra"@en ;
  a skos:Concept ;
  skos:broader psr:-F1B5QL5S-0 .

psr:-WDX96PR6-V
  skos:prefLabel "division algebra"@en, "algèbre à division"@fr ;
  a skos:Concept ;
  skos:broader psr:-F1B5QL5S-0 .

psr:-D2RF5ZQR-G
  skos:prefLabel "boucle de Moufang"@fr, "Moufang loop"@en ;
  a skos:Concept ;
  skos:broader psr:-F1B5QL5S-0 .

psr:-N2M3QNK0-Q
  skos:prefLabel "flexible algebra"@en, "algèbre flexible"@fr ;
  a skos:Concept ;
  skos:broader psr:-F1B5QL5S-0 .

psr: a skos:ConceptScheme .
psr:-J1XCR636-6
  skos:prefLabel "hyperbolic quaternion"@en, "quaternion hyperbolique"@fr ;
  a skos:Concept ;
  skos:broader psr:-F1B5QL5S-0 .

psr:-F1B5QL5S-0
  dc:created "2023-07-26"^^xsd:date ;
  skos:narrower psr:-G1GVN6FR-3, psr:-BV2VH70S-1, psr:-PGB1XCV4-R, psr:-N2M3QNK0-Q, psr:-D2RF5ZQR-G, psr:-L08QXVJJ-6, psr:-H2PDWGMD-8, psr:-WDX96PR6-V, psr:-KRMCJZW3-1, psr:-R553W8RM-J, psr:-DG57JJ6T-P, psr:-GD2PCT10-B, psr:-J1XCR636-6 ;
  skos:exactMatch <https://en.wikipedia.org/wiki/Non-associative_algebra> ;
  skos:definition """A <b>non-associative algebra</b> (or <b>distributive algebra</b>) is an algebra over a field where the binary multiplication operation is not assumed to be associative. That is, an algebraic structure <i>A</i> is a non-associative algebra over a field <i>K</i> if it is a vector space over <i>K</i> and is equipped with a <i>K</i>-bilinear binary multiplication operation <i>A</i> × <i>A</i> → <i>A</i> which may or may not be associative. Examples include Lie algebras, Jordan algebras, the octonions, and three-dimensional Euclidean space equipped with the cross product operation. Since it is not assumed that the multiplication is associative, using parentheses to indicate the order of multiplications is necessary. For example, the expressions (<i>ab</i>)(<i>cd</i>), (<i>a</i>(<i>bc</i>))<i>d</i> and <i>a</i>(<i>b</i>(<i>cd</i>)) may all yield different answers.
<br/>(Wikipedia, The Free Encyclopedia, <a href="https://en.wikipedia.org/wiki/Non-associative_algebra">https://en.wikipedia.org/wiki/Non-associative_algebra</a>)"""@en ;
  skos:broader psr:-CS2FD3K2-0 ;
  skos:altLabel "distributive algebra"@en ;
  skos:prefLabel "non-associative algebra"@en, "algèbre non associative"@fr ;
  dc:modified "2023-07-26"^^xsd:date ;
  skos:inScheme psr: ;
  a skos:Concept .

psr:-H2PDWGMD-8
  skos:prefLabel "algèbre alternative"@fr, "alternative algebra"@en ;
  a skos:Concept ;
  skos:broader psr:-F1B5QL5S-0 .

psr:-G1GVN6FR-3
  skos:prefLabel "Kantor-Koecher-Tits construction"@en, "construction de Kantor-Koecher-Tits"@fr ;
  a skos:Concept ;
  skos:broader psr:-F1B5QL5S-0 .

psr:-R553W8RM-J
  skos:prefLabel "vertex operator algebra"@en, "algèbre vertex"@fr ;
  a skos:Concept ;
  skos:broader psr:-F1B5QL5S-0 .

psr:-PGB1XCV4-R
  skos:prefLabel "Leibniz algebra"@en, "algèbre de Leibniz"@fr ;
  a skos:Concept ;
  skos:broader psr:-F1B5QL5S-0 .

psr:-KRMCJZW3-1
  skos:prefLabel "symmetric cone"@en, "cône symétrique"@fr ;
  a skos:Concept ;
  skos:broader psr:-F1B5QL5S-0 .

psr:-CS2FD3K2-0
  skos:prefLabel "algebra over a field"@en, "algèbre sur un corps"@fr ;
  a skos:Concept ;
  skos:narrower psr:-F1B5QL5S-0 .