![abstract algebra - Clarifications on proof of Hilbert's Theorem for finitely generated graded modules over $k[x_1,...,x_r]$ - Mathematics Stack Exchange abstract algebra - Clarifications on proof of Hilbert's Theorem for finitely generated graded modules over $k[x_1,...,x_r]$ - Mathematics Stack Exchange](https://i.stack.imgur.com/jfVPQ.png)
abstract algebra - Clarifications on proof of Hilbert's Theorem for finitely generated graded modules over $k[x_1,...,x_r]$ - Mathematics Stack Exchange
Critical cases of stability. Converse implicit function theorem for dynamical systems with cosymmetry
THE KOSTKA SEMIGROUP AND ITS HILBERT BASIS 1. Introduction 1 1.1. Background 1 1.2. Results 2 1.3. Organization 4 2. The Gale-Ry
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![SOLVED:Prove the converse to Hilbert's Basis Theorem: if the polynomial ring R[x] is Noetherian, then R is Noetherian. SOLVED:Prove the converse to Hilbert's Basis Theorem: if the polynomial ring R[x] is Noetherian, then R is Noetherian.](https://cdn.numerade.com/previews/66c8fa09-83d3-4cb7-b038-9d3fd639fd3e_large.jpg)
SOLVED:Prove the converse to Hilbert's Basis Theorem: if the polynomial ring R[x] is Noetherian, then R is Noetherian.
![abstract algebra - Explanation of a proof from Stacks Project: Noetherian ring of formal powers series - Mathematics Stack Exchange abstract algebra - Explanation of a proof from Stacks Project: Noetherian ring of formal powers series - Mathematics Stack Exchange](https://i.stack.imgur.com/9DC25.png)