Jacobson ring
In algebra, a Hilbert ring or a Jacobson ring is a ring such that every prime ideal is an intersection of primitive ideals. For commutative rings primitive ideals are the same as maximal ideals so in this case a Jacobson ring is one in which every prime ideal is an intersection of maximal ideals. Jacobson rings were introduced independently by Krull (, ), who named them after Nathan Jacobson because of their relation to Jacobson radicals, and by Goldman (), who named them Hilbert rings after David Hilbert because of their relation to Hilbert's Nullstellensatz.
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Jacobson ring
In algebra, a Hilbert ring or a Jacobson ring is a ring such that every prime ideal is an intersection of primitive ideals. For commutative rings primitive ideals are the same as maximal ideals so in this case a Jacobson ring is one in which every prime ideal is an intersection of maximal ideals. Jacobson rings were introduced independently by Krull (, ), who named them after Nathan Jacobson because of their relation to Jacobson radicals, and by Goldman (), who named them Hilbert rings after David Hilbert because of their relation to Hilbert's Nullstellensatz.
has abstract
In algebra, a Hilbert ring or ...... to Hilbert's Nullstellensatz.
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In de ringtheorie, een deelgeb ...... uitbreiding van het veld R/I.
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Un anneau de Jacobson est un a ...... n générale du Nullstellensatz.
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代数学において、ヒルベルト環 (Hilbert ring) ...... の関連から David Hilbert にちなんで名づけた。
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646,873,991
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Wolfgang Krull
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comment
In algebra, a Hilbert ring or ...... to Hilbert's Nullstellensatz.
@en
In de ringtheorie, een deelgeb ...... snede is van maximale idealen.
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Un anneau de Jacobson est un a ...... nduit entre les corps de fini.
@fr
代数学において、ヒルベルト環 (Hilbert ring) ...... の関連から David Hilbert にちなんで名づけた。
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Anneau de Jacobson
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Jacobson ring
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Jacobson-ring
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ジャコブソン環
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