# Hilbert's basis theorem

In mathematics, specifically commutative algebra, Hilbert's basis theorem says that a polynomial ring over a Noetherian ring is Noetherian.

## Words

This table shows the example usage of word lists for keywords extraction from the text above.

Word | Word Frequency | Number of Articles | Relevance |
---|---|---|---|

hilbert's | 3 | 158 | 1.163 |

noetherian | 2 | 116 | 0.798 |

theorem | 3 | 4782 | 0.784 |

basis | 3 | 27170 | 0.591 |

hilberts | 1 | 9 | 0.494 |