Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/Semi-local_ring> ?p ?o }
Showing triples 1 to 49 of
49
with 100 triples per page.
- Semi-local_ring abstract "In mathematics, a semi-local ring is a ring for which R/J(R) is a semisimple ring, where J(R) is the Jacobson radical of R. (Lam 2001, §20)(Mikhalev 2002, C.7) The above definition is satisfied if R has a finite number of maximal right ideals (and finite number of maximal left ideals). When R is a commutative ring, the converse implication is also true, and so the definition of semi-local for commutative rings is often taken to be "having finitely many maximal ideals".Some literature refers to a commutative semi-local ring in general as aquasi-semi-local ring, using semi-local ring to refer to a Noetherian ring with finitely many maximal ideals.A semi-local ring is thus more general than a local ring, which has only one maximal (right/left/two-sided) ideal.".
- Semi-local_ring wikiPageID "977725".
- Semi-local_ring wikiPageLength "3038".
- Semi-local_ring wikiPageOutDegree "20".
- Semi-local_ring wikiPageRevisionID "601018791".
- Semi-local_ring wikiPageWikiLink Algebraic_geometry.
- Semi-local_ring wikiPageWikiLink Artinian_module.
- Semi-local_ring wikiPageWikiLink Artinian_ring.
- Semi-local_ring wikiPageWikiLink Category:Localization_(mathematics).
- Semi-local_ring wikiPageWikiLink Category:Ring_theory.
- Semi-local_ring wikiPageWikiLink Chinese_remainder_theorem.
- Semi-local_ring wikiPageWikiLink Classical_ring_of_quotients.
- Semi-local_ring wikiPageWikiLink Commutative_ring.
- Semi-local_ring wikiPageWikiLink Endomorphism_ring.
- Semi-local_ring wikiPageWikiLink Jacobson_radical.
- Semi-local_ring wikiPageWikiLink Local_ring.
- Semi-local_ring wikiPageWikiLink Localization_of_a_ring.
- Semi-local_ring wikiPageWikiLink Mathematics.
- Semi-local_ring wikiPageWikiLink Maximal_ideal.
- Semi-local_ring wikiPageWikiLink Noetherian_ring.
- Semi-local_ring wikiPageWikiLink Ore_condition.
- Semi-local_ring wikiPageWikiLink Perfect_ring.
- Semi-local_ring wikiPageWikiLink Prime_ideal.
- Semi-local_ring wikiPageWikiLink Ring_(mathematics).
- Semi-local_ring wikiPageWikiLink Semiperfect_ring.
- Semi-local_ring wikiPageWikiLink Semisimple_module.
- Semi-local_ring wikiPageWikiLink Semisimple_ring.
- Semi-local_ring wikiPageWikiLink Serial_module.
- Semi-local_ring wikiPageWikiLink Serial_ring.
- Semi-local_ring wikiPageWikiLinkText "Semi-local ring".
- Semi-local_ring wikiPageWikiLinkText "semi-local".
- Semi-local_ring hasPhotoCollection Semi-local_ring.
- Semi-local_ring wikiPageUsesTemplate Template:Abstract-algebra-stub.
- Semi-local_ring wikiPageUsesTemplate Template:Citation.
- Semi-local_ring wikiPageUsesTemplate Template:For.
- Semi-local_ring wikiPageUsesTemplate Template:Harv.
- Semi-local_ring subject Category:Localization_(mathematics).
- Semi-local_ring subject Category:Ring_theory.
- Semi-local_ring hypernym Ring.
- Semi-local_ring type AnatomicalStructure.
- Semi-local_ring comment "In mathematics, a semi-local ring is a ring for which R/J(R) is a semisimple ring, where J(R) is the Jacobson radical of R. (Lam 2001, §20)(Mikhalev 2002, C.7) The above definition is satisfied if R has a finite number of maximal right ideals (and finite number of maximal left ideals).".
- Semi-local_ring label "Semi-local ring".
- Semi-local_ring sameAs חוג_מקומי_למחצה.
- Semi-local_ring sameAs 半局所環.
- Semi-local_ring sameAs m.03w346.
- Semi-local_ring sameAs Q7449309.
- Semi-local_ring sameAs Q7449309.
- Semi-local_ring wasDerivedFrom Semi-local_ring?oldid=601018791.
- Semi-local_ring isPrimaryTopicOf Semi-local_ring.