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1. • CommentRowNumber1.
   • CommentAuthorTim_Porter
   • CommentTimeJun 9th 2015
   • (edited Jun 9th 2015)
   • PermaLink
   Author: Tim_Porter
   Format: MarkdownItexSomeone anonymous has changed the wording in [[coherent module]]. I think it is correct but it is a bit incoherent. They changed 'Noetherian ring' to 'coherent ring' but have not defined that concept. Can someone who knows the terminology better than me check this out? It probably just needs a line saying what a coherent ring is.

   Someone anonymous has changed the wording in coherent module. I think it is correct but it is a bit incoherent. They changed ’Noetherian ring’ to ’coherent ring’ but have not defined that concept. Can someone who knows the terminology better than me check this out? It probably just needs a line saying what a coherent ring is.

2. • CommentRowNumber2.
   • CommentAuthorzskoda
   • CommentTimeJun 9th 2015
   • PermaLink
   Author: zskoda
   Format: MarkdownItexOne of the papers in the Borel's volume on D-modules has theory of coherent rings/algebras in elementary detail. I will check later...

   One of the papers in the Borel’s volume on D-modules has theory of coherent rings/algebras in elementary detail. I will check later…

3. • CommentRowNumber3.
   • CommentAuthorDexter Chua
   • CommentTimeSep 9th 2016
   • PermaLink
   Author: Dexter Chua
   Format: MarkdownItexThe definition of a coherent module seems to differ from other sources such as [Stacks Project](http://stacks.math.columbia.edu/tag/05CU). The other definitions only require finitely-generated submodules to be finitely presented, and not all of them. Can someone more familiar with modules confirm? (Also, the usual definition says the module has to be finitely generated and finitely-generated submodules are finitely presented. That implies that the module itself is also finitely-generated, right?)

   The definition of a coherent module seems to differ from other sources such as Stacks Project. The other definitions only require finitely-generated submodules to be finitely presented, and not all of them. Can someone more familiar with modules confirm?

   (Also, the usual definition says the module has to be finitely generated and finitely-generated submodules are finitely presented. That implies that the module itself is also finitely-generated, right?)

4. • CommentRowNumber4.
   • CommentAuthorIngoBlechschmidt
   • CommentTimeSep 19th 2016
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   Author: IngoBlechschmidt
   Format: MarkdownItexYes, thanks for your note, I just fixed the entry. One should only require the finitely-generated submodules to be finitely presented. Else the condition would be the same as Noetherianity. Also the condition wouldn't make any sense in constructive mathematics, where one can't even show that all submodules of $\mathbb{Z}$ are finitely generated. Indeed the module itself is finitely generated.

   Yes, thanks for your note, I just fixed the entry. One should only require the finitely-generated submodules to be finitely presented. Else the condition would be the same as Noetherianity. Also the condition wouldn’t make any sense in constructive mathematics, where one can’t even show that all submodules of $\mathbb{Z}$ are finitely generated.

   Indeed the module itself is finitely generated.

5. • CommentRowNumber5.
   • CommentAuthorJohn Baez
   • CommentTimeOct 1st 2021
   • PermaLink
   Author: John Baez
   Format: MarkdownItexRemoved unnecessary and distracting definition of noetherian ring; fixed spelling here and there, etc. <a href="https://ncatlab.org/nlab/revision/diff/coherent+module/8">diff</a>, <a href="https://ncatlab.org/nlab/revision/coherent+module/8">v8</a>, <a href="https://ncatlab.org/nlab/show/coherent+module">current</a>

   Removed unnecessary and distracting definition of noetherian ring; fixed spelling here and there, etc.

   diff, v8, current

6. • CommentRowNumber6.
   • CommentAuthorUrs
   • CommentTimeOct 1st 2021
   • PermaLink
   Author: Urs
   Format: MarkdownItexI have cleaned up and cross-linked a little more.

   I have cleaned up and cross-linked a little more.