@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:-L1L0WF59-4
  skos:prefLabel "corps commutatif"@fr, "field"@en ;
  a skos:Concept ;
  skos:related psr:-NF0MJ8FK-W .

psr:-DQMTBLQT-5
  skos:prefLabel "cyclotomic field"@en, "extension cyclotomique"@fr ;
  a skos:Concept ;
  skos:narrower psr:-NF0MJ8FK-W .

psr: a skos:ConceptScheme .
psr:-NF0MJ8FK-W
  skos:exactMatch <https://en.wikipedia.org/wiki/Iwasawa_theory>, <https://fr.wikipedia.org/wiki/Th%C3%A9orie_d%27Iwasawa> ;
  dc:modified "2024-10-18"^^xsd:date ;
  a skos:Concept ;
  skos:broader psr:-DQMTBLQT-5, psr:-KW18QTZJ-7 ;
  skos:definition """In number theory, Iwasawa theory is the study of objects of arithmetic interest over infinite towers of number fields. It began as a Galois module theory of ideal class groups, initiated by Kenkichi Iwasawa (1959) (岩澤 健吉), as part of the theory of cyclotomic fields. In the early 1970s, Barry Mazur considered generalizations of Iwasawa theory to abelian varieties. More recently (early 1990s), Ralph Greenberg has proposed an Iwasawa theory for motives. 
<br/>(Wikipedia, The Free Encyclopedia, <a href="https://en.wikipedia.org/wiki/Iwasawa_theory">https://en.wikipedia.org/wiki/Iwasawa_theory</a>)"""@en, """La <b>théorie d'Iwasawa</b> peut être vue comme une tentative d'étendre les résultats arithmétiques classiques sur les corps de nombres (extensions <i>finies</i> du corps <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 \\\\mathbb {Q} }">   <semantics>     <mrow class="MJX-TeXAtom-ORD">       <mstyle displaystyle="true" scriptlevel="0">         <mrow class="MJX-TeXAtom-ORD">           <mi mathvariant="double-struck">Q</mi>         </mrow>       </mstyle>     </mrow>     <annotation encoding="application/x-tex">{\\\\displaystyle \\\\mathbb {Q} }</annotation>   </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c5909f0b54e4718fa24d5fd34d54189d24a66e9a" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:1.808ex; height:2.509ex;" alt="{\\\\displaystyle \\\\mathbb {Q} }"></span> des rationnels) à des extensions infinies de <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 \\\\mathbb {Q} }">   <semantics>     <mrow class="MJX-TeXAtom-ORD">       <mstyle displaystyle="true" scriptlevel="0">         <mrow class="MJX-TeXAtom-ORD">           <mi mathvariant="double-struck">Q</mi>         </mrow>       </mstyle>     </mrow>     <annotation encoding="application/x-tex">{\\\\displaystyle \\\\mathbb {Q} }</annotation>   </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c5909f0b54e4718fa24d5fd34d54189d24a66e9a" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:1.808ex; height:2.509ex;" alt="{\\\\displaystyle \\\\mathbb {Q} }"></span>, par des procédés de passage à la limite des extensions finies vers les extensions infinies.  
<br/>(Wikipedia, L'Encylopédie Libre, <a href="https://fr.wikipedia.org/wiki/Th%C3%A9orie_d%27Iwasawa">https://fr.wikipedia.org/wiki/Th%C3%A9orie_d%27Iwasawa</a>)"""@fr ;
  skos:prefLabel "théorie d'Iwasawa"@fr, "Iwasawa theory"@en ;
  dc:created "2023-08-17"^^xsd:date ;
  skos:related psr:-L1L0WF59-4 ;
  skos:inScheme psr: .

psr:-KW18QTZJ-7
  skos:prefLabel "théorie des corps de classes"@fr, "class field theory"@en ;
  a skos:Concept ;
  skos:narrower psr:-NF0MJ8FK-W .