- Krull theorem
- 1) Общая лексика: теорема Крулля2) Математика: теорема Крулл
Универсальный англо-русский словарь. Академик.ру. 2011.
Krull theorem
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Krull's theorem — In mathematics, more specifically in ring theory, Krull s theorem, named after Wolfgang Krull, proves the existence of maximal ideals in any unital commutative ring. The theorem was first stated in 1929 and is equivalent to the axiom of choice.… … Wikipedia
Krull-Schmidt theorem — In mathematics, the Krull Schmidt theorem states that a group G, subjected to certain finiteness conditions of chains of subgroups, can be uniquely written as a finite direct product of indecomposable subgroups.DefinitionsWe say that a group G… … Wikipedia
Krull — The term Krull can refer to:* Felix Krull, the title character in Thomas Mann s book The Confessions of Felix Krull, Confidence Man: The Early Years * Krull , a 1983 heroic fantasy film ** Krull (video game), the arcade, Atari and pinball… … Wikipedia
Krull's principal ideal theorem — In commutative algebra, Krull s principal ideal theorem, named after Wolfgang Krull (1899 1971), gives a bound on the height of a principal ideal in a Noetherian ring. The theorem is sometimes referred to by its German name, Krulls Hauptidealsatz … Wikipedia
Wolfgang Krull — (26 August 1899 12 April 1971) was a German mathematician, working in the field of commutative algebra. He was born in Baden Baden, Germany and died in Bonn, Germany. See also * Krull dimension * Krull topology * Krull s intersection theorem *… … Wikipedia
Chebotarev's density theorem — in algebraic number theory describes statistically the splitting of primes in a given Galois extension K of the field Q of rational numbers. Generally speaking, a prime integer will factor into several ideal primes in the ring of algebraic… … Wikipedia
Principal ideal theorem — This article is about the Hauptidealsatz of class field theory. You may be seeking Krull s principal ideal theorem, also known as Krull s Hauptidealsatz, in commutative algebra In mathematics, the principal ideal theorem of class field theory, a… … Wikipedia
Structure theorem for finitely generated modules over a principal ideal domain — In mathematics, in the field of abstract algebra, the structure theorem for finitely generated modules over a principal ideal domain is a generalization of the fundamental theorem of finitely generated abelian groups and roughly states that… … Wikipedia
Lasker–Noether theorem — In mathematics, the Lasker–Noether theorem states that every Noetherian ring is a Lasker ring, which means that every ideal can be written as an intersection of finitely many primary ideals (which are related to, but not quite the same as, powers … Wikipedia
Fundamental theorem of Galois theory — In mathematics, the fundamental theorem of Galois theory is a result that describes the structure of certain types of field extensions.In its most basic form, the theorem asserts that given a field extension E / F which is finite and Galois,… … Wikipedia
Schmidt's theorem — In mathematics, Schmidt s theorem may refer to * the Krull Schmidt theorem * Wolfgang M. Schmidt s subspace theorem … Wikipedia
