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 Übersetzung für 'Lasker-Noether theorem' von Englisch nach Deutsch
math.
Lasker-Noether theorem [also: theorem of Lasker-Noether]
Satz {m} von Lasker-Noether
Teiltreffer
math.
Noether normalization theorem
noetherscher Normalisierungs­satz {m}
math.
Noether's theorem
Noether-Theorem {n}
math.
Noether normalization
noethersche Normalisierung {f}
math.
Noether normalization lemma
noethersches Normalisierungs­lemma {n}
electr.
Whittaker-Kotelnikow-Shannon sampling theorem <WKS sampling theorem>
WKS-Abtasttheorem {n}
math.
Kolmogorov-Arnold-Moser theorem <KAM theorem> [also: theorem of Kolmogorov-Arnold-Moser]
Kolmogorow-Arnold-Moser-Theorem {n} <KAM-Theorem>
math.
Poincaré-Birkhoff-Witt theorem <PBW theorem>
Satz {m} von Poincaré-Birkhoff-Witt
math.
Cantor-Bernstein-Schroeder theorem <CBS theorem>
Cantor-Bernstein-Schröder'scher Satz / Äquivalenzsatz {m}
math.
no free lunch theorem [also: No Free Lunch theorem, no-free-lunch theorem] <NFL theorem>
No-free-Lunch-Theorem {n}
math.
theorem
Satz {m}
58
theoremLehrsatz {m}
58
math.
theorem
Theorem {n}
20
math.
submersion theorem
Satz {m} vom regulären Wert
math.
uniformization theorem
großer riemannscher Abbildungs­satz {m} [Uniformisierungs­satz]
econ.math.
envelope theorem
Einhüllenden-Satz {m}
math.
main theorem
Hauptsatz {m}
econ.math.
envelope theorem
Umhüllungs­satz {m}
math.
Descartes' theorem
Vier-Kreise-Satz {m} von Descartes
math.
decomposition theorem
Zerlegungs­satz {m}
math.philos.
general theorem
allgemeiner Satz {m}
21 Übersetzungen
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Anwendungsbeispiele Englisch
  • 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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