Matches in DBpedia 2016-04 for { <http://wikidata.dbpedia.org/resource/Q4849994> ?p ?o }
Showing triples 1 to 23 of
23
with 100 triples per page.
- Q4849994 subject Q7036089.
- Q4849994 subject Q9225079.
- Q4849994 abstract "In the subfield of abstract algebra known as module theory, a right R module M is called a balanced module (or is said to have the double centralizer property) if every endomorphism of the abelian group M which commutes with all R-endomorphisms of M is given by multiplication by a ring element. Explicitly, for any additive endomorphism f, if fg = gf for every R endomorphism g, then there exists an r in R such that f(x) = xr for all x in M. In the case of non-balanced modules, there will be such an f that is not expressible this way.In the language of centralizers, a balanced module is one satisfying the conclusion of the double centralizer theorem, that is, the only endomorphisms of the group M commuting with all the R endomorphisms of M are the ones induced by right multiplication by ring elements.A ring is called balanced if every right R module is balanced. It turns out that being balanced is a left-right symmetric condition on rings, and so there is no need to prefix it with "left" or "right".The study of balanced modules and rings is an outgrowth of the study of QF-1 rings by C.J. Nesbitt and R. M. Thrall. This study was continued in V. P. Camillo's dissertation, and later it became fully developed. The paper (Dlab & Ringel 1972) gives a particularly broad view with many examples. In addition to these references, K. Morita and H. Tachikawa have also contributed published and unpublished results. A partial list of authors contributing to the theory of balanced modules and rings can be found in the references.".
- Q4849994 wikiPageWikiLink Q1052309.
- Q4849994 wikiPageWikiLink Q1340800.
- Q4849994 wikiPageWikiLink Q1485102.
- Q4849994 wikiPageWikiLink Q159943.
- Q4849994 wikiPageWikiLink Q17103209.
- Q4849994 wikiPageWikiLink Q18848.
- Q4849994 wikiPageWikiLink Q191166.
- Q4849994 wikiPageWikiLink Q2326800.
- Q4849994 wikiPageWikiLink Q2375712.
- Q4849994 wikiPageWikiLink Q44649.
- Q4849994 wikiPageWikiLink Q454583.
- Q4849994 wikiPageWikiLink Q5299981.
- Q4849994 wikiPageWikiLink Q567083.
- Q4849994 wikiPageWikiLink Q6912366.
- Q4849994 wikiPageWikiLink Q7036089.
- Q4849994 wikiPageWikiLink Q7269430.
- Q4849994 wikiPageWikiLink Q9225079.
- Q4849994 wikiPageWikiLink Q956233.
- Q4849994 comment "In the subfield of abstract algebra known as module theory, a right R module M is called a balanced module (or is said to have the double centralizer property) if every endomorphism of the abelian group M which commutes with all R-endomorphisms of M is given by multiplication by a ring element. Explicitly, for any additive endomorphism f, if fg = gf for every R endomorphism g, then there exists an r in R such that f(x) = xr for all x in M.".
- Q4849994 label "Balanced module".