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mathematics, more specifically ring theory and the theory of nil ideals, Levitzky's theorem, named after Jacob Levitzki, states that in a right Noetherian ring
Levitzky's_theorem
theorem (logic) Diaconescu's theorem (mathematical logic) Easton's theorem (set theory) Erdős–Dushnik–Miller theorem (set theory) Erdős–Rado theorem (set
List_of_theorems
Surname list
Levitzki radical Levitzky's theorem Hopkins–Levitzki theorem Lewicki (f. Lewicka, pl. Lewici) Levitsky (f. Levitska, Levitskaya) Levitzky Levitin Levi MFnames
Levitzki
Ring subset with only nilpotent elements
rings; the result is known as Levitzky's theorem. A particularly simple proof due to Utumi can be found in (Herstein 1968, Theorem 1.4.5, p. 37). Köthe conjecture
Nil_ideal
Branch of mathematics that studies algebraic structures
basis theorem Hopkins–Levitzki theorem Krull's principal ideal theorem Levitzky's theorem Galois theory Abel–Ruffini theorem Wedderburn–Artin theorem Jacobson
List of abstract algebra topics
List_of_abstract_algebra_topics
German mathematician (1882–1935)
making significant contributions (in particular Levitzky's theorem and the Hopkins–Levitzki theorem) to ring theory. Other "Noether Boys" included Max
Emmy_Noether
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
Nilpotent_ideal
Israeli mathematician (1904–1956)
Education University of Göttingen Known for Levitzky's theorem, Amitsur–Levitzki theorem, Hopkins–Levitzki theorem Scientific career Fields Mathematics Workplaces
Jakob_Levitzki
Russian mathematician
proved the Golod–Shafarevich theorem on class field towers. As an application, he gave a negative solution to the Kurosh–Levitzky problem on the nilpotency
Evgeny_Golod
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