Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/Central_simple_algebra> ?p ?o }
Showing triples 1 to 75 of
75
with 100 triples per page.
- Central_simple_algebra abstract "In ring theory and related areas of mathematics a central simple algebra (CSA) over a field K is a finite-dimensional associative algebra A, which is simple, and for which the center is exactly K. In other words, any simple algebra is a central simple algebra over its center.For example, the complex numbers C form a CSA over themselves, but not over the real numbers R (the center of C is all of C, not just R). The quaternions H form a 4-dimensional CSA over R, and in fact represent the only non-trivial element of the Brauer group of the reals (see below).Given two central simple algebras A ~ M(n,S) and B ~ M(m,T) over the same field F, A and B are called similar (or Brauer equivalent) if their division rings S and T are isomorphic. The set of all equivalence classes of central simple algebras over a given field F, under this equivalence relation, can be equipped with a group operation given by the tensor product of algebras. The resulting group is called the Brauer group Br(F) of the field F. It is always a torsion group.".
- Central_simple_algebra wikiPageID "404082".
- Central_simple_algebra wikiPageLength "7722".
- Central_simple_algebra wikiPageOutDegree "43".
- Central_simple_algebra wikiPageRevisionID "675189111".
- Central_simple_algebra wikiPageWikiLink Algebraic_number_field.
- Central_simple_algebra wikiPageWikiLink Artin–Wedderburn_theorem.
- Central_simple_algebra wikiPageWikiLink Associative_algebra.
- Central_simple_algebra wikiPageWikiLink Automorphism.
- Central_simple_algebra wikiPageWikiLink Azumaya_algebra.
- Central_simple_algebra wikiPageWikiLink Brauer_class.
- Central_simple_algebra wikiPageWikiLink Brauer_equivalent.
- Central_simple_algebra wikiPageWikiLink Brauer_group.
- Central_simple_algebra wikiPageWikiLink Cambridge_University_Press.
- Central_simple_algebra wikiPageWikiLink Category:Algebras.
- Central_simple_algebra wikiPageWikiLink Category:Ring_theory.
- Central_simple_algebra wikiPageWikiLink Center_(algebra).
- Central_simple_algebra wikiPageWikiLink Complex_number.
- Central_simple_algebra wikiPageWikiLink Dimension_(vector_space).
- Central_simple_algebra wikiPageWikiLink Division_algebra.
- Central_simple_algebra wikiPageWikiLink Division_ring.
- Central_simple_algebra wikiPageWikiLink Equivalence_class.
- Central_simple_algebra wikiPageWikiLink Extension_field.
- Central_simple_algebra wikiPageWikiLink Field_(mathematics).
- Central_simple_algebra wikiPageWikiLink Field_extension.
- Central_simple_algebra wikiPageWikiLink Graduate_Studies_in_Mathematics.
- Central_simple_algebra wikiPageWikiLink Group_operation.
- Central_simple_algebra wikiPageWikiLink Group_theory.
- Central_simple_algebra wikiPageWikiLink Inner_automorphism.
- Central_simple_algebra wikiPageWikiLink Joseph_Wedderburn.
- Central_simple_algebra wikiPageWikiLink Mathematics.
- Central_simple_algebra wikiPageWikiLink Matrix_algebra.
- Central_simple_algebra wikiPageWikiLink Matrix_ring.
- Central_simple_algebra wikiPageWikiLink Noncommutative_number_field.
- Central_simple_algebra wikiPageWikiLink Noncommutative_number_theory.
- Central_simple_algebra wikiPageWikiLink Number_field.
- Central_simple_algebra wikiPageWikiLink Order_(ring_theory).
- Central_simple_algebra wikiPageWikiLink Posners_theorem.
- Central_simple_algebra wikiPageWikiLink Quaternion.
- Central_simple_algebra wikiPageWikiLink Quaternion_algebra.
- Central_simple_algebra wikiPageWikiLink Real_number.
- Central_simple_algebra wikiPageWikiLink Ring_theory.
- Central_simple_algebra wikiPageWikiLink Separable_extension.
- Central_simple_algebra wikiPageWikiLink Severi–Brauer_variety.
- Central_simple_algebra wikiPageWikiLink Simple_algebra.
- Central_simple_algebra wikiPageWikiLink Skolem–Noether_theorem.
- Central_simple_algebra wikiPageWikiLink Springer-Verlag.
- Central_simple_algebra wikiPageWikiLink Springer_Science+Business_Media.
- Central_simple_algebra wikiPageWikiLink Subalgebra.
- Central_simple_algebra wikiPageWikiLink Tensor_product_of_algebras.
- Central_simple_algebra wikiPageWikiLink Torsion_group.
- Central_simple_algebra wikiPageWikiLinkText "Central simple algebra".
- Central_simple_algebra wikiPageWikiLinkText "Central simple algebra#Properties".
- Central_simple_algebra wikiPageWikiLinkText "central simple algebra".
- Central_simple_algebra wikiPageWikiLinkText "central simple".
- Central_simple_algebra wikiPageWikiLinkText "central".
- Central_simple_algebra hasPhotoCollection Central_simple_algebra.
- Central_simple_algebra wikiPageUsesTemplate Template:Cite_book.
- Central_simple_algebra wikiPageUsesTemplate Template:Reflist.
- Central_simple_algebra subject Category:Algebras.
- Central_simple_algebra subject Category:Ring_theory.
- Central_simple_algebra hypernym Algebra.
- Central_simple_algebra type Algebra.
- Central_simple_algebra comment "In ring theory and related areas of mathematics a central simple algebra (CSA) over a field K is a finite-dimensional associative algebra A, which is simple, and for which the center is exactly K. In other words, any simple algebra is a central simple algebra over its center.For example, the complex numbers C form a CSA over themselves, but not over the real numbers R (the center of C is all of C, not just R).".
- Central_simple_algebra label "Central simple algebra".
- Central_simple_algebra sameAs Álgebra_simple_central.
- Central_simple_algebra sameAs 中心的単純環.
- Central_simple_algebra sameAs Centrale_enkelvoudige_algebra.
- Central_simple_algebra sameAs Algebra_centralna_prosta.
- Central_simple_algebra sameAs Álgebra_simples_central.
- Central_simple_algebra sameAs m.02466w.
- Central_simple_algebra sameAs Q2428439.
- Central_simple_algebra sameAs Q2428439.
- Central_simple_algebra wasDerivedFrom Central_simple_algebra?oldid=675189111.
- Central_simple_algebra isPrimaryTopicOf Central_simple_algebra.