Übersetzung für 'Lasker-Noether theorem' von Englisch nach Deutsch

Lasker-Noether theorem [also: theorem of Lasker-Noether]

Satz {m} von Lasker-Noethermath.

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Noether's theorem

Noether-Theorem {n}math.

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Noether normalization theorem

noetherscher Normalisierungs­satz {m}math.

Noether normalization

noethersche Normalisierung {f}math.

Noether normalization lemma

noethersches Normalisierungs­lemma {n}math.

Whittaker-Kotelnikow-Shannon sampling theorem <WKS sampling theorem>

WKS-Abtasttheorem {n}electr.

Kolmogorov-Arnold-Moser theorem <KAM theorem> [also: theorem of Kolmogorov-Arnold-Moser]

Kolmogorow-Arnold-Moser-Theorem {n} <KAM-Theorem>math.

Cantor-Bernstein-Schroeder theorem <CBS theorem>

Cantor-Bernstein-Schröder'scher Satz / Äquivalenzsatz {m}math.

Poincaré-Birkhoff-Witt theorem <PBW theorem>

Satz {m} von Poincaré-Birkhoff-Wittmath.

no free lunch theorem [also: No Free Lunch theorem, no-free-lunch theorem] <NFL theorem>

No-free-Lunch-Theorem {n}math.

theorem

Satz {m}math.

Theorem {n}math.

Lehrsatz {m}

Coase theorem

Coase-Theorem {n}econ.

optical theorem

Bohr-Peierls-Placzek-Theorem {n}phys.

Bohr-Peierls-Placzek-Beziehung {f}phys.

cathetus theorem

Kathetensatz {m}math.

uniqueness theorem

Eindeutigkeitssatz {m}math.

reciprocity theorem

Kopplungs­theorem {n} [Reziprozitätstheorem]electr.

envelope theorem

Umhüllungs­satz {m}econ.math.

Einhüllenden-Satz {m}econ.math.

• Since PID's are Noetherian rings, this can be seen as a manifestation of the Lasker-Noether theorem.
• Lasker–Noether 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 Lasker–Noether theorem and the Krull intersection theorem).
• The Lasker–Noether 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 Lasker–Noether theorem.