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- Q2093886 subject Q7210431.
- Q2093886 subject Q8851962.
- Q2093886 abstract "In field theory, the primitive element theorem or Artin's theorem on primitive elements is a result characterizing the finite degree field extensions that possess a primitive element, or simple extensions. It says that a finite extension is simple if and only if there are only finitely many intermediate fields. In particular, finite separable extensions are simple.".
- Q2093886 wikiPageExternalLink ProofOfPrimitiveElementTheorem.
- Q2093886 wikiPageExternalLink primitive.pdf.
- Q2093886 wikiPageExternalLink fld-sep,pet.html.
- Q2093886 wikiPageWikiLink Q11203.
- Q2093886 wikiPageWikiLink Q1244890.
- Q2093886 wikiPageWikiLink Q125977.
- Q2093886 wikiPageWikiLink Q188276.
- Q2093886 wikiPageWikiLink Q190109.
- Q2093886 wikiPageWikiLink Q1996100.
- Q2093886 wikiPageWikiLink Q2264756.
- Q2093886 wikiPageWikiLink Q245462.
- Q2093886 wikiPageWikiLink Q2628674.
- Q2093886 wikiPageWikiLink Q2694495.
- Q2093886 wikiPageWikiLink Q27628.
- Q2093886 wikiPageWikiLink Q3493864.
- Q2093886 wikiPageWikiLink Q3777923.
- Q2093886 wikiPageWikiLink Q43260.
- Q2093886 wikiPageWikiLink Q4378669.
- Q2093886 wikiPageWikiLink Q57283.
- Q2093886 wikiPageWikiLink Q577835.
- Q2093886 wikiPageWikiLink Q603880.
- Q2093886 wikiPageWikiLink Q616608.
- Q2093886 wikiPageWikiLink Q7210431.
- Q2093886 wikiPageWikiLink Q836088.
- Q2093886 wikiPageWikiLink Q8851962.
- Q2093886 wikiPageWikiLink Q92552.
- Q2093886 comment "In field theory, the primitive element theorem or Artin's theorem on primitive elements is a result characterizing the finite degree field extensions that possess a primitive element, or simple extensions. It says that a finite extension is simple if and only if there are only finitely many intermediate fields. In particular, finite separable extensions are simple.".
- Q2093886 label "Primitive element theorem".