Last Updated :2025/12/06

Hilbert's basis theorem

Proper noun
Japanese Meaning
(数学) ノーザ環上の多項式環が、同じくノーザ環となることを保証する定理。
What is this buttons?

最初にヒルベルトの基底定理を学んだとき、多項式環がノーターリング環の上でも必ずノーターリングになるということに驚きました。

Quizzes for review

(mathematics) A theorem stating that a polynomial ring over a Noetherian ring is Noetherian.

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Hilbert's basis theorem

When I first learned Hilbert's basis theorem, I was amazed that a polynomial ring over a Noetherian ring is necessarily Noetherian.

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When I first learned Hilbert's basis theorem, I was amazed that a polynomial ring over a Noetherian ring is necessarily Noetherian.

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