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 (Satz meaning "proposition" or "theorem"). Formally, if R is a Noetherian ring and I is a principal, proper ideal of R, then I has height at most one.
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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 (Satz meaning "proposition" or "theorem"). Formally, if R is a Noetherian ring and I is a principal, proper ideal of R, then I has height at most one.
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Der Krullsche Hauptidealsatz i ...... ihm 1928 veröffentlicht wurde.
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En algèbre commutative, le thé ...... rsurface est de codimension 1.
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In commutative algebra, Krull' ...... des a proof due to David Rees.
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In matematica, il teorema dell ...... to da Wolfgang Krull nel 1928.
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可換環論（次元論）において、クルルの単項イデアル定理（英: ...... 、ネーター環の素イデアルの高さについての基本的な定理である。
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Der Krullsche Hauptidealsatz i ...... ihm 1928 veröffentlicht wurde.
@de
En algèbre commutative, le thé ...... rsurface est de codimension 1.
@fr
In commutative algebra, Krull' ...... then I has height at most one.
@en
In matematica, il teorema dell ...... to da Wolfgang Krull nel 1928.
@it
可換環論（次元論）において、クルルの単項イデアル定理（英: ...... 、ネーター環の素イデアルの高さについての基本的な定理である。
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Krull's principal ideal theorem
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Krullscher Hauptidealsatz
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Teorema dell'ideale principale
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Théorème des idéaux principaux de Krull
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クルルの単項イデアル定理
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