## About: Frobenius theorem (division rings)GotoSponge NotDistinct Permalink

An Entity of Type : yago:TheoremsInAbstractAlgebra, within Data Space : dbpedia-live.openlinksw.com associated with source document(s)

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 real dimension 1, 2, and 4, respectively. Of these three algebras, R and C are commutative, but H is not.

AttributesValues
rdf:type
sameAs
foaf:isPrimaryTopicOf
rdfs: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 real dimension 1, 2, and 4, respectively. Of these three algebras, R and C are commutative, but H is not.
rdfs:label
• Frobenius theorem (real division algebras)
has 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 real dimension 1, 2, and 4, respectively. Of these three algebras, R and C are commutative, but H is not.
Link to the Wikipage edit URL
Link from a Wikipage to an external page
extraction datetime
Link to the Wikipage history URL
Wikipage page ID
page length (characters) of wiki page
Wikipage modification datetime
Wiki page out degree
Wikipage revision ID
Link to the Wikipage revision URL
dbp:wikiPageUsesTemplate
dct:subject
is foaf:primaryTopic of
is Wikipage disambiguates of
is Wikipage redirect of
Faceted Search & Find service v1.17_git39 as of Aug 10 2019

Alternative Linked Data Documents: iSPARQL | ODE     Content Formats:       RDF       ODATA       Microdata      About

OpenLink Virtuoso version 08.03.3319 as of Sep 1 2020, on Linux (x86_64-generic-linux-glibc25), Single-Server Edition (61 GB total memory)
Data on this page belongs to its respective rights holders.
Virtuoso Faceted Browser Copyright © 2009-2021 OpenLink Software