Matches in DBpedia 2016-04 for { <http://dbpedia.org/resource/Nilpotent_ideal> ?p ?o }
Showing triples 1 to 36 of
36
with 100 triples per page.
- Nilpotent_ideal abstract "In mathematics, more specifically ring theory, an ideal, I, of a ring is said to be a nilpotent ideal, if there exists a natural number k such that Ik = 0. By Ik, it is meant the additive subgroup generated by the set of all products of k elements in I. Therefore, I is nilpotent if and only if there is a natural number k such that the product of any k elements of I is 0. The notion of a nilpotent ideal is much stronger than that of a nil ideal in many classes of rings. There are, however, instances when the two notions coincide—this is exemplified by Levitzky's theorem. The notion of a nilpotent ideal, although interesting in the case of commutative rings, is most interesting in the case of noncommutative rings.".
- Nilpotent_ideal wikiPageID "6389159".
- Nilpotent_ideal wikiPageLength "2633".
- Nilpotent_ideal wikiPageOutDegree "17".
- Nilpotent_ideal wikiPageRevisionID "610076075".
- Nilpotent_ideal wikiPageWikiLink Category:Ideals.
- Nilpotent_ideal wikiPageWikiLink Commutative_ring.
- Nilpotent_ideal wikiPageWikiLink Ideal_(ring_theory).
- Nilpotent_ideal wikiPageWikiLink Jacobson_radical.
- Nilpotent_ideal wikiPageWikiLink Köthe_conjecture.
- Nilpotent_ideal wikiPageWikiLink Levitzkys_theorem.
- Nilpotent_ideal wikiPageWikiLink Martin_Isaacs.
- Nilpotent_ideal wikiPageWikiLink Mathematics.
- Nilpotent_ideal wikiPageWikiLink Nil_ideal.
- Nilpotent_ideal wikiPageWikiLink Nilpotent.
- Nilpotent_ideal wikiPageWikiLink Nilradical_of_a_ring.
- Nilpotent_ideal wikiPageWikiLink Noncommutative_ring.
- Nilpotent_ideal wikiPageWikiLink Ring_(mathematics).
- Nilpotent_ideal wikiPageWikiLink Ring_theory.
- Nilpotent_ideal wikiPageWikiLinkText "Nilpotent ideal".
- Nilpotent_ideal wikiPageWikiLinkText "nilpotent ideal".
- Nilpotent_ideal wikiPageWikiLinkText "nilpotent".
- Nilpotent_ideal wikiPageUsesTemplate Template:Cite_book.
- Nilpotent_ideal wikiPageUsesTemplate Template:Reflist.
- Nilpotent_ideal wikiPageUsesTemplate Template:Sfn.
- Nilpotent_ideal subject Category:Ideals.
- Nilpotent_ideal comment "In mathematics, more specifically ring theory, an ideal, I, of a ring is said to be a nilpotent ideal, if there exists a natural number k such that Ik = 0. By Ik, it is meant the additive subgroup generated by the set of all products of k elements in I. Therefore, I is nilpotent if and only if there is a natural number k such that the product of any k elements of I is 0. The notion of a nilpotent ideal is much stronger than that of a nil ideal in many classes of rings.".
- Nilpotent_ideal label "Nilpotent ideal".
- Nilpotent_ideal sameAs Q4321370.
- Nilpotent_ideal sameAs 冪零イデアル.
- Nilpotent_ideal sameAs m.07k95zk.
- Nilpotent_ideal sameAs Нильпотентный_идеал.
- Nilpotent_ideal sameAs Нільпотентний_ідеал.
- Nilpotent_ideal sameAs Q4321370.
- Nilpotent_ideal wasDerivedFrom Nilpotent_ideal?oldid=610076075.
- Nilpotent_ideal isPrimaryTopicOf Nilpotent_ideal.