An Entity of Type: WikicatTheoremsInAbstractAlgebra, from Named Graph: http://dbpedia.org, within Data Space: dbpedia.org

In mathematics, the Artin approximation theorem is a fundamental result of Michael Artin in deformation theory which implies that formal power series with coefficients in a field k are well-approximated by the algebraic functions on k. More precisely, Artin proved two such theorems: one, in 1968, on approximation of complex analytic solutions by formal solutions (in the case ); and an algebraic version of this theorem in 1969.

Property Value
dbo:abstract
  • In mathematics, the Artin approximation theorem is a fundamental result of Michael Artin in deformation theory which implies that formal power series with coefficients in a field k are well-approximated by the algebraic functions on k. More precisely, Artin proved two such theorems: one, in 1968, on approximation of complex analytic solutions by formal solutions (in the case ); and an algebraic version of this theorem in 1969. (en)
dbo:wikiPageExternalLink
dbo:wikiPageID
  • 2388724 (xsd:integer)
dbo:wikiPageLength
  • 3688 (xsd:nonNegativeInteger)
dbo:wikiPageRevisionID
  • 986594055 (xsd:integer)
dbo:wikiPageWikiLink
dbp:authorlink
  • Michael Artin (en)
dbp:first
  • Michael (en)
dbp:last
  • Artin (en)
dbp:wikiPageUsesTemplate
dbp:year
  • 1969 (xsd:integer)
dct:subject
gold:hypernym
rdf:type
rdfs:comment
  • In mathematics, the Artin approximation theorem is a fundamental result of Michael Artin in deformation theory which implies that formal power series with coefficients in a field k are well-approximated by the algebraic functions on k. More precisely, Artin proved two such theorems: one, in 1968, on approximation of complex analytic solutions by formal solutions (in the case ); and an algebraic version of this theorem in 1969. (en)
rdfs:label
  • Artin approximation theorem (en)
owl:sameAs
prov:wasDerivedFrom
foaf:depiction
foaf:isPrimaryTopicOf
is dbo:academicDiscipline of
is dbo:wikiPageDisambiguates of
is dbo:wikiPageRedirects of
is dbo:wikiPageWikiLink of
is dbp:fields of
is foaf:primaryTopic of
Powered by OpenLink Virtuoso    This material is Open Knowledge     W3C Semantic Web Technology     This material is Open Knowledge    Valid XHTML + RDFa
This content was extracted from Wikipedia and is licensed under the Creative Commons Attribution-ShareAlike 3.0 Unported License