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- Locally_nilpotent abstract "In the mathematical field of commutative algebra, an ideal I in a commutative ring A is locally nilpotent at a prime ideal p if Ip, the localization of I at p, is a nilpotent ideal in Ap.In non-commutative algebra and group theory, an algebra or group is locally nilpotent if and only if every finitely generated subalgebra or subgroup is nilpotent. The subgroup generated by the normal locally nilpotent subgroups is called the Hirsch–Plotkin radical and is the generalization of the Fitting subgroup to groups without the ascending chain condition on normal subgroups. A locally nilpotent ring is one in which every finitely generated subring is nilpotent: locally nilpotent rings form a radical class, giving rise to the Levitzki radical.".
- Locally_nilpotent wikiPageID "3100179".
- Locally_nilpotent wikiPageLength "1028".
- Locally_nilpotent wikiPageOutDegree "12".
- Locally_nilpotent wikiPageRevisionID "666895121".
- Locally_nilpotent wikiPageWikiLink Category:Commutative_algebra.
- Locally_nilpotent wikiPageWikiLink Commutative_algebra.
- Locally_nilpotent wikiPageWikiLink Commutative_ring.
- Locally_nilpotent wikiPageWikiLink Fitting_subgroup.
- Locally_nilpotent wikiPageWikiLink Hirsch–Plotkin_radical.
- Locally_nilpotent wikiPageWikiLink Ideal_(ring_theory).
- Locally_nilpotent wikiPageWikiLink Levitzki_radical.
- Locally_nilpotent wikiPageWikiLink Localization_of_a_ring.
- Locally_nilpotent wikiPageWikiLink Mathematics.
- Locally_nilpotent wikiPageWikiLink Nilpotent_ideal.
- Locally_nilpotent wikiPageWikiLink Prime_ideal.
- Locally_nilpotent wikiPageWikiLink Radical_class.
- Locally_nilpotent wikiPageWikiLink Radical_of_a_ring.
- Locally_nilpotent wikiPageWikiLinkText "Locally nilpotent".
- Locally_nilpotent wikiPageWikiLinkText "locally nilpotent".
- Locally_nilpotent hasPhotoCollection Locally_nilpotent.
- Locally_nilpotent wikiPageUsesTemplate Template:Algebra-stub.
- Locally_nilpotent wikiPageUsesTemplate Template:Unreferenced.
- Locally_nilpotent subject Category:Commutative_algebra.
- Locally_nilpotent hypernym Nilpotent.
- Locally_nilpotent comment "In the mathematical field of commutative algebra, an ideal I in a commutative ring A is locally nilpotent at a prime ideal p if Ip, the localization of I at p, is a nilpotent ideal in Ap.In non-commutative algebra and group theory, an algebra or group is locally nilpotent if and only if every finitely generated subalgebra or subgroup is nilpotent.".
- Locally_nilpotent label "Locally nilpotent".
- Locally_nilpotent sameAs m.04_1kcg.
- Locally_nilpotent sameAs Q6664692.
- Locally_nilpotent sameAs Q6664692.
- Locally_nilpotent wasDerivedFrom Locally_nilpotent?oldid=666895121.
- Locally_nilpotent isPrimaryTopicOf Locally_nilpotent.