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- Frobenius_theorem_(real_division_algebras) abstract "In mathematics, more specifically in abstract algebra, the Frobenius theorem, proved by Ferdinand Georg Frobenius in 1877, characterizes the finite-dimensional associative division algebras over the real numbers. According to the theorem, every such algebra is isomorphic to one of the following: R (the real numbers) C (the complex numbers) H (the quaternions).These algebras have dimensions 1, 2, and 4, respectively. Of these three algebras, R and C are commutative, but H is not.".
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- Frobenius_theorem_(real_division_algebras) wikiPageExternalLink qu1.pdf.
- Frobenius_theorem_(real_division_algebras) wikiPageID "3966889".
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- Frobenius_theorem_(real_division_algebras) wikiPageRevisionID "702110512".
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- Frobenius_theorem_(real_division_algebras) wikiPageWikiLink American_Mathematical_Monthly.
- Frobenius_theorem_(real_division_algebras) wikiPageWikiLink Associative_algebra.
- Frobenius_theorem_(real_division_algebras) wikiPageWikiLink Cambridge_University_Press.
- Frobenius_theorem_(real_division_algebras) wikiPageWikiLink Category:Algebras.
- Frobenius_theorem_(real_division_algebras) wikiPageWikiLink Category:Articles_containing_proofs.
- Frobenius_theorem_(real_division_algebras) wikiPageWikiLink Category:Quaternions.
- Frobenius_theorem_(real_division_algebras) wikiPageWikiLink Category:Theorems_in_abstract_algebra.
- Frobenius_theorem_(real_division_algebras) wikiPageWikiLink Cayley–Hamilton_theorem.
- Frobenius_theorem_(real_division_algebras) wikiPageWikiLink Characteristic_polynomial.
- Frobenius_theorem_(real_division_algebras) wikiPageWikiLink Clifford_algebra.
- Frobenius_theorem_(real_division_algebras) wikiPageWikiLink Codimension.
- Frobenius_theorem_(real_division_algebras) wikiPageWikiLink Commutative_property.
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- Frobenius_theorem_(real_division_algebras) wikiPageWikiLink Composition_algebra.
- Frobenius_theorem_(real_division_algebras) wikiPageWikiLink Connected_space.
- Frobenius_theorem_(real_division_algebras) wikiPageWikiLink Crelles_Journal.
- Frobenius_theorem_(real_division_algebras) wikiPageWikiLink Definite_quadratic_form.
- Frobenius_theorem_(real_division_algebras) wikiPageWikiLink Dimension_(vector_space).
- Frobenius_theorem_(real_division_algebras) wikiPageWikiLink Division_algebra.
- Frobenius_theorem_(real_division_algebras) wikiPageWikiLink Endomorphism.
- Frobenius_theorem_(real_division_algebras) wikiPageWikiLink Ferdinand_Georg_Frobenius.
- Frobenius_theorem_(real_division_algebras) wikiPageWikiLink Fundamental_theorem_of_algebra.
- Frobenius_theorem_(real_division_algebras) wikiPageWikiLink Hurwitzs_theorem_(composition_algebras).
- Frobenius_theorem_(real_division_algebras) wikiPageWikiLink Inner_product_space.
- Frobenius_theorem_(real_division_algebras) wikiPageWikiLink Irreducible_polynomial.
- Frobenius_theorem_(real_division_algebras) wikiPageWikiLink Isomorphism.
- Frobenius_theorem_(real_division_algebras) wikiPageWikiLink Leonard_Eugene_Dickson.
- Frobenius_theorem_(real_division_algebras) wikiPageWikiLink Lev_Pontryagin.
- Frobenius_theorem_(real_division_algebras) wikiPageWikiLink List_of_important_publications_in_mathematics.
- Frobenius_theorem_(real_division_algebras) wikiPageWikiLink Locally_compact_space.
- Frobenius_theorem_(real_division_algebras) wikiPageWikiLink Mathematics.
- Frobenius_theorem_(real_division_algebras) wikiPageWikiLink Minimal_polynomial_(linear_algebra).
- Frobenius_theorem_(real_division_algebras) wikiPageWikiLink Octonion.
- Frobenius_theorem_(real_division_algebras) wikiPageWikiLink Orthonormal_basis.
- Frobenius_theorem_(real_division_algebras) wikiPageWikiLink Polynomial.
- Frobenius_theorem_(real_division_algebras) wikiPageWikiLink Quaternion.
- Frobenius_theorem_(real_division_algebras) wikiPageWikiLink Real_number.
- Frobenius_theorem_(real_division_algebras) wikiPageWikiLink Symmetric_bilinear_form.
- Frobenius_theorem_(real_division_algebras) wikiPageWikiLink Topological_ring.
- Frobenius_theorem_(real_division_algebras) wikiPageWikiLink Trace_(linear_algebra).
- Frobenius_theorem_(real_division_algebras) wikiPageWikiLink Vector_space.
- Frobenius_theorem_(real_division_algebras) wikiPageWikiLinkText "Frobenius theorem (associative division algebras)".
- Frobenius_theorem_(real_division_algebras) wikiPageWikiLinkText "Frobenius theorem (real division algebras)".
- Frobenius_theorem_(real_division_algebras) wikiPageWikiLinkText "Frobenius theorem".
- Frobenius_theorem_(real_division_algebras) wikiPageWikiLinkText "theorem of Frobenius".
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- Frobenius_theorem_(real_division_algebras) wikiPageUsesTemplate Template:Su.
- Frobenius_theorem_(real_division_algebras) subject Category:Algebras.
- Frobenius_theorem_(real_division_algebras) subject Category:Articles_containing_proofs.
- Frobenius_theorem_(real_division_algebras) subject Category:Quaternions.
- Frobenius_theorem_(real_division_algebras) subject Category:Theorems_in_abstract_algebra.
- Frobenius_theorem_(real_division_algebras) type Algebra.
- Frobenius_theorem_(real_division_algebras) type Proof.
- Frobenius_theorem_(real_division_algebras) type Quaternion.
- Frobenius_theorem_(real_division_algebras) type Theorem.
- Frobenius_theorem_(real_division_algebras) comment "In mathematics, more specifically in abstract algebra, the Frobenius theorem, proved by Ferdinand Georg Frobenius in 1877, characterizes the finite-dimensional associative division algebras over the real numbers. According to the theorem, every such algebra is isomorphic to one of the following: R (the real numbers) C (the complex numbers) H (the quaternions).These algebras have dimensions 1, 2, and 4, respectively. Of these three algebras, R and C are commutative, but H is not.".
- Frobenius_theorem_(real_division_algebras) label "Frobenius theorem (real division algebras)".
- Frobenius_theorem_(real_division_algebras) sameAs Q1361031.
- Frobenius_theorem_(real_division_algebras) sameAs Teorema_de_Frobenius_(álgebra).
- Frobenius_theorem_(real_division_algebras) sameAs Théorème_de_Frobenius_(algèbre).
- Frobenius_theorem_(real_division_algebras) sameAs フロベニウスの定理_(代数学).
- Frobenius_theorem_(real_division_algebras) sameAs 프로베니우스_정리_(대수학).
- Frobenius_theorem_(real_division_algebras) sameAs Twierdzenie_Frobeniusa_o_algebrach_z_dzieleniem_nad_ciałem_liczb_rzeczywistych.
- Frobenius_theorem_(real_division_algebras) sameAs Teorema_de_Frobenius.
- Frobenius_theorem_(real_division_algebras) sameAs m.0b92lk.
- Frobenius_theorem_(real_division_algebras) sameAs Теорема_Фробениуса.
- Frobenius_theorem_(real_division_algebras) sameAs Теорема_Фробеніуса.
- Frobenius_theorem_(real_division_algebras) sameAs Q1361031.
- Frobenius_theorem_(real_division_algebras) wasDerivedFrom Frobenius_theorem_(real_division_algebras)?oldid=702110512.
- Frobenius_theorem_(real_division_algebras) isPrimaryTopicOf Frobenius_theorem_(real_division_algebras).