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Hilbert basis theorem (Theorem)

Let $ R$ be a right (left) Noetherian ring. Then $ R[x]$ is also right (left) Noetherian.



"Hilbert basis theorem" is owned by KimJ.
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Keywords:  commutative algebra algebraic geometry

Attachments:
proof of Hilbert basis theorem (Proof) by bwebste
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Cross-references: Noetherian, noetherian ring, right
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This is version 7 of Hilbert basis theorem, born on 2001-10-15, modified 2004-02-17.
Object id is 188, canonical name is HilbertsBasisTheorem.
Accessed 5334 times total.

Classification:
AMS MSC13E05 (Commutative rings and algebras :: Chain conditions, finiteness conditions :: Noetherian rings and modules)
 16P40 (Associative rings and algebras :: Chain conditions, growth conditions, and other forms of finiteness :: Noetherian rings and modules)

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