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 Übersetzung für 'Lasker-Noether' von Englisch nach Deutsch
math.
Lasker-Noether theorem [also: theorem of Lasker-Noether]
Satz {m} von Lasker-Noether
1 Übersetzung
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  • Satz {m} von Lasker-Noether = Lasker-Noether theorem [also: theorem of Lasker-Noether]
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Anwendungsbeispiele Englisch
  • In commutative algebra, associated primes are linked to the LaskerNoether primary decomposition of ideals in commutative Noetherian rings.
  • Since PID's are Noetherian rings, this can be seen as a manifestation of the Lasker-Noether theorem.
  • LaskerNoether theorem implies that every algebraic set is the union of a finite number of uniquely defined algebraic sets, called its "irreducible components".
  • Noetherian rings are fundamental in both commutative and noncommutative ring theory since many rings that are encountered in mathematics are Noetherian (in particular the ring of integers, polynomial rings, and rings of algebraic integers in number fields), and many general theorems on rings rely heavily on Noetherian property (for example, the LaskerNoether theorem and the Krull intersection theorem).
  • The LaskerNoether theorem is an extension of the fundamental theorem of arithmetic, and more generally the fundamental theorem of finitely generated abelian groups to all Noetherian rings.

  • While unique factorization does not hold in [...] , there is unique factorization of ideals. See LaskerNoether theorem.
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Enthält Übersetzungen von der TU Chemnitz sowie aus Mr Honey's Business Dictionary (nur Englisch/Deutsch).
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