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- Primitive_element_theorem 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.".
- Primitive_element_theorem wikiPageExternalLink ProofOfPrimitiveElementTheorem.
- Primitive_element_theorem wikiPageExternalLink primitive.pdf.
- Primitive_element_theorem wikiPageExternalLink fld-sep,pet.html.
- Primitive_element_theorem wikiPageID "448933".
- Primitive_element_theorem wikiPageLength "7336".
- Primitive_element_theorem wikiPageOutDegree "27".
- Primitive_element_theorem wikiPageRevisionID "614415276".
- Primitive_element_theorem wikiPageWikiLink Algebraic_number_field.
- Primitive_element_theorem wikiPageWikiLink Category:Field_theory.
- Primitive_element_theorem wikiPageWikiLink Category:Theorems_in_abstract_algebra.
- Primitive_element_theorem wikiPageWikiLink Characteristic_(algebra).
- Primitive_element_theorem wikiPageWikiLink Characteristic_p.
- Primitive_element_theorem wikiPageWikiLink Cyclic_group.
- Primitive_element_theorem wikiPageWikiLink Degree_of_a_field_extension.
- Primitive_element_theorem wikiPageWikiLink Emil_Artin.
- Primitive_element_theorem wikiPageWikiLink Existence_theorem.
- Primitive_element_theorem wikiPageWikiLink Field_(mathematics).
- Primitive_element_theorem wikiPageWikiLink Field_extension.
- Primitive_element_theorem wikiPageWikiLink Field_theory_(mathematics).
- Primitive_element_theorem wikiPageWikiLink Finite_field.
- Primitive_element_theorem wikiPageWikiLink Galois_theory.
- Primitive_element_theorem wikiPageWikiLink Linear_combination.
- Primitive_element_theorem wikiPageWikiLink Multiplicative_group.
- Primitive_element_theorem wikiPageWikiLink Pigeonhole_principle.
- Primitive_element_theorem wikiPageWikiLink Polynomial.
- Primitive_element_theorem wikiPageWikiLink Primitive_element_(finite_field).
- Primitive_element_theorem wikiPageWikiLink Rational_number.
- Primitive_element_theorem wikiPageWikiLink Separable_extension.
- Primitive_element_theorem wikiPageWikiLink Simple_extension.
- Primitive_element_theorem wikiPageWikiLink Splitting_field.
- Primitive_element_theorem wikiPageWikiLink System_of_linear_equations.
- Primitive_element_theorem wikiPageWikiLink Vector_space.
- Primitive_element_theorem wikiPageWikiLinkText "Primitive element theorem".
- Primitive_element_theorem wikiPageWikiLinkText "primitive element theorem".
- Primitive_element_theorem hasPhotoCollection Primitive_element_theorem.
- Primitive_element_theorem wikiPageUsesTemplate Template:Reflist.
- Primitive_element_theorem subject Category:Field_theory.
- Primitive_element_theorem subject Category:Theorems_in_abstract_algebra.
- Primitive_element_theorem hypernym Result.
- Primitive_element_theorem type Theorem.
- Primitive_element_theorem 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.".
- Primitive_element_theorem label "Primitive element theorem".
- Primitive_element_theorem sameAs Satz_vom_primitiven_Element.
- Primitive_element_theorem sameAs Thxc3xa9orxc3xa8me_de_lxc3xa9lxc3xa9ment_primitif.
- Primitive_element_theorem sameAs משפט_האיבר_הפרימיטיבי.
- Primitive_element_theorem sameAs Teorema_dellelemento_primitivo.
- Primitive_element_theorem sameAs 原始元定理.
- Primitive_element_theorem sameAs Teorema_do_elemento_primitivo.
- Primitive_element_theorem sameAs m.029rg2.
- Primitive_element_theorem sameAs Теорема_о_примитивном_элементе.
- Primitive_element_theorem sameAs Теорема_про_первісний_елемент.
- Primitive_element_theorem sameAs Q2093886.
- Primitive_element_theorem sameAs Q2093886.
- Primitive_element_theorem sameAs 本原元定理.
- Primitive_element_theorem wasDerivedFrom Primitive_element_theorem?oldid=614415276.
- Primitive_element_theorem isPrimaryTopicOf Primitive_element_theorem.