In abstract algebra, in particular ring theory, the Akizuki–Hopkins–Levitzki theorem connects the descending chain condition and ascending chain condition...

Ukrainian-American concert pianist It can also refer to: Levitzki radical Levitzky's theorem Hopkins–Levitzki theorem Lewicki (f. Lewicka, pl. Lewici) Levitsky (f...

stronger condition. Specifically, a consequence of the Akizuki–Hopkins–Levitzki theorem is that a left (resp. right) Artinian ring is automatically a left...

F. Hopkins, Confederate Civil War leader at the Battle of St. Johns Bluff Charles Hopkins, mathematician known for his role in the Hopkins–Levitzki theorem...

Jakob Levitzki, also known as Yaakov Levitsky (Hebrew: יעקב לויצקי; 17 August 1904 – 25 February 1956), was an Israeli mathematician. Levitzki was born...

The Hopkins–Levitzki theorem gives necessary and sufficient conditions for a Noetherian ring to be an Artinian ring Morita theory consists of theorems determining...

making significant contributions (in particular Levitzky's theorem and the Hopkins–Levitzki theorem) to ring theory. Other Noether Boys included Max Deuring...

particular, he is most well known in helping to demonstrate Akizuki–Hopkins–Levitzki theorem. Yasuo Akizuki was born on 23 August 1902 in Wakayama. In 1926...

Gaussian integer Theorems and applications Algebraic geometry Hilbert's Nullstellensatz Hilbert's basis theorem Hopkins–Levitzki theorem Krull's principal...

commutative Noetherian ring is Noetherian. A consequence of the Akizuki–Hopkins–Levitzki theorem is that every left Artinian ring is left Noetherian. Another consequence...

4\mathbb {Z} \supsetneq 8\mathbb {Z} \dots } shows. In fact, by the Hopkins–Levitzki theorem, every Artinian ring is Noetherian. More precisely, Artinian rings...

surprising fact that a left Artinian ring is left Noetherian (the Hopkins–Levitzki theorem). The integers, however, form a Noetherian ring which is not Artinian...

theorem, named after Jacob Levitzki, states that in a right Noetherian ring, every nil one-sided ideal is necessarily nilpotent. Levitzky's theorem is...

dedicated to Hartley's memory. Another relevant result is the Akizuki–Hopkins–Levitzki theorem, which states that the Artinian and Noetherian conditions are equivalent...

Prize (1953) Boris Levitan (1914–2004), almost periodic functions Jacob Levitzki (1904–1956), mathematician Armand Lévy (1795–1841), mathematician Azriel...