@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: a skos:ConceptScheme .
psr:-LLND57KL-D
  skos:prefLabel "algèbre associative"@fr, "associative algebra"@en ;
  a skos:Concept ;
  skos:narrower psr:-LN6C6VRX-1 .

psr:-LN6C6VRX-1
  dc:modified "2023-08-17"^^xsd:date ;
  skos:prefLabel "algèbre de quaternions"@fr, "quaternion algebra"@en ;
  dc:created "2023-08-17"^^xsd:date ;
  skos:exactMatch <https://fr.wikipedia.org/wiki/Alg%C3%A8bre_de_quaternions>, <https://en.wikipedia.org/wiki/Quaternion_algebra> ;
  a skos:Concept ;
  skos:definition """En mathématiques, une algèbre de quaternions sur un corps commutatif <i>K</i> est une <i>K</i>-algèbre de dimension 4 qui généralise à la fois le corps des quaternions de Hamilton et l'algèbre des matrices carrées d'ordre 2. Pour être plus précis, ce sont les algèbres centrales simples sur <i>K</i> de degré 2. 
<br/>(Wikipedia, L'Encylopédie Libre, <a href="https://fr.wikipedia.org/wiki/Alg%C3%A8bre_de_quaternions">https://fr.wikipedia.org/wiki/Alg%C3%A8bre_de_quaternions</a>)"""@fr, """In mathematics, a <b>quaternion algebra</b> over a field <i>F</i> is a central simple algebra <i>A</i> over <i>F</i> that has dimension 4 over <i>F</i>. Every quaternion algebra becomes a matrix algebra by <i>extending scalars</i> (equivalently, tensoring with a field extension), i.e. for a suitable field extension <i>K</i> of <i>F</i>, <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\\\\displaystyle A\\\\otimes _{F}K}">
<br/>  <semantics>
<br/>    <mrow class="MJX-TeXAtom-ORD">
<br/>      <mstyle displaystyle="true" scriptlevel="0">
<br/>        <mi>A</mi>
<br/>        <msub>
<br/>          <mo>⊗<!-- ⊗ --></mo>
<br/>          <mrow class="MJX-TeXAtom-ORD">
<br/>            <mi>F</mi>
<br/>          </mrow>
<br/>        </msub>
<br/>        <mi>K</mi>
<br/>      </mstyle>
<br/>    </mrow>
<br/>    <annotation encoding="application/x-tex">{\\\\displaystyle A\\\\otimes _{F}K}</annotation>
<br/>  </semantics>
<br/></math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/bb1b4bbe9b3b3c80d72ca0e62f7fe7f0bfc09086" class="mwe-math-fallback-image-inline" aria-hidden="true" style="vertical-align: -0.671ex; width:8.113ex; height:2.509ex;" alt="A\\\\otimes _{F}K"></span> is isomorphic to the 2 × 2 matrix algebra over <i>K</i>. 
<br/>(Wikipedia, The Free Encyclopedia, <a href="https://en.wikipedia.org/wiki/Quaternion_algebra">https://en.wikipedia.org/wiki/Quaternion_algebra</a>)"""@en ;
  skos:narrower psr:-G912GB3C-D ;
  skos:inScheme psr: ;
  skos:broader psr:-LLND57KL-D .

psr:-G912GB3C-D
  skos:prefLabel "quaternion"@fr, "quaternion"@en ;
  a skos:Concept ;
  skos:broader psr:-LN6C6VRX-1 .