@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:-SKGJ9CKK-N
  skos:prefLabel "géométrie algébrique"@fr, "algebraic geometry"@en ;
  a skos:Concept ;
  skos:narrower psr:-V53P2WBG-3 .

psr:-S0L8K1MV-2
  skos:prefLabel "opération d'Adams"@fr, "Adams operation"@en ;
  a skos:Concept ;
  skos:broader psr:-V53P2WBG-3 .

psr: a skos:ConceptScheme .
psr:-PTRWRXTF-0
  skos:prefLabel "K-théorie"@fr, "K-theory"@en ;
  a skos:Concept ;
  skos:narrower psr:-V53P2WBG-3 .

psr:-QKJ1LQT2-C
  skos:prefLabel "algèbre homologique"@fr, "homological algebra"@en ;
  a skos:Concept ;
  skos:narrower psr:-V53P2WBG-3 .

psr:-HJCGLFRG-7
  skos:prefLabel "Steinberg symbol"@en, "symbole de Steinberg"@fr ;
  a skos:Concept ;
  skos:broader psr:-V53P2WBG-3 .

psr:-XH011L63-1
  skos:prefLabel "groupe de Grothendieck"@fr, "Grothendieck group"@en ;
  a skos:Concept ;
  skos:broader psr:-V53P2WBG-3 .

psr:-V53P2WBG-3
  skos:prefLabel "K-théorie algébrique"@fr, "algebraic K-theory"@en ;
  skos:inScheme psr: ;
  skos:broader psr:-QKJ1LQT2-C, psr:-SKGJ9CKK-N, psr:-PTRWRXTF-0 ;
  dc:modified "2023-08-18"^^xsd:date ;
  skos:narrower psr:-XH011L63-1, psr:-S0L8K1MV-2, psr:-HJCGLFRG-7 ;
  skos:exactMatch <https://en.wikipedia.org/wiki/Algebraic_K-theory>, <https://fr.wikipedia.org/wiki/K-th%C3%A9orie_alg%C3%A9brique> ;
  skos:definition """ En mathématiques, la <i>K</i>-théorie algébrique est une branche importante de l'algèbre homologique. Son objet est de définir et d'appliquer une suite de foncteurs <i>K</i><sub><i>n</i></sub> de la catégorie des anneaux dans celle des groupes abéliens. Pour des raisons historiques, <i>K</i><sub>0</sub> et <i>K</i><sub>1</sub> sont conçus en des termes un peu différents des <i>K</i><sub><i>n</i></sub> pour <i>n</i> ≥ 2. Ces deux <i>K</i>-groupes sont en effet plus accessibles et ont plus d'applications que ceux d'indices supérieurs. La théorie de ces derniers est bien plus profonde et ils sont beaucoup plus difficiles à calculer, ne serait-ce que pour l'anneau des entiers. 
<br/>(Wikipedia, L'Encylopédie Libre, <a href="https://fr.wikipedia.org/wiki/K-th%C3%A9orie_alg%C3%A9brique">https://fr.wikipedia.org/wiki/K-th%C3%A9orie_alg%C3%A9brique</a>)"""@fr, """Algebraic <i>K</i>-theory is a subject area in mathematics with connections to geometry, topology, ring theory, and number theory. Geometric, algebraic, and arithmetic objects are assigned objects called <i>K</i>-groups. These are groups in the sense of abstract algebra. They contain detailed information about the original object but are notoriously difficult to compute; for example, an important outstanding problem is to compute the <i>K</i>-groups of the integers. <i>K</i>-theory was discovered in the late 1950s by Alexander Grothendieck in his study of intersection theory on algebraic varieties. In the modern language, Grothendieck defined only <i>K</i>0, the zeroth <i>K</i>-group, but even this single group has plenty of applications, such as the Grothendieck–Riemann–Roch theorem. Intersection theory is still a motivating force in the development of (higher) algebraic <i>K</i>-theory through its links with motivic cohomology and specifically Chow groups. The subject also includes classical number-theoretic topics like quadratic reciprocity and embeddings of number fields into the real numbers and complex numbers, as well as more modern concerns like the construction of higher regulators and special values of <i>L</i>-functions. 
<br/>(Wikipedia, The Free Encyclopedia, <a href="https://en.wikipedia.org/wiki/Algebraic_K-theory">https://en.wikipedia.org/wiki/Algebraic_K-theory</a>)"""@en ;
  dc:created "2023-08-04"^^xsd:date ;
  a skos:Concept .