Lemma 10.90.5 (05CY)—The Stacks project

Loading [MathJax]/extensions/tex2jax.js

Table of contents
Part 1: Preliminaries
Chapter 10: Commutative Algebra
Section 10.90: Coherent rings
Lemma 10.90.5 (cite)

previous lemma
next proposition

numberstags

history
statistics
4 tags refer to this tag

Lemma 10.90.5. A Noetherian ring is a coherent ring.

Proof. By Lemma 10.31.4 any finite $R$-module is finitely presented. In particular any ideal of $R$ is finitely presented. $\square$

Comments (0)

There are also:

4 comment(s) on Section 10.90: Coherent rings

In your comment you can use Markdown and LaTeX style mathematics (enclose it like $\pi$ ). A preview option is available if you wish to see how it works out (just click on the eye in the toolbar).

Comments (0)

Post a comment