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![[parent]](http://images.planetmath.org:8080/images/uparrow.png) Viewing Correction to 'example of ring which is not a UFD'
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title by mathcam
Correction id: 6350
Filed on: 2005-03-19 01:19:08
Status: Accepted on 2005-03-19 07:55:04
Type: Meta/Minor
Correction text:
While this is certainly true, this entry gives a much stronger counter-example than simply a ring that is not a UFD. It's a commutative ring with 1, it's Noetherian, etc. There are plenty of rings which are nowhere near being a UFD...my personal feeling is that this example is important because it's the ring of integers of a number field that's not a UFD. So I guess all in all, my suggestions is to just replace "ring" with "number ring" in the title, or maybe even "(number) ring" to parenthetically remark on another special property of the ring.
Cam
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Comment from object owner alozano:
Hi, so what I did is writing "example of number ring which is not a UFD" in the also defines field. And also "example of a ring of integers..." in the synonims field.
Alvaro
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While this is certainly true, this entry gives a much stronger counter-example than simply a ring that is not a UFD. It's a commutative ring with 1, it's Noetherian, etc. There are plenty of rings which are nowhere near being a UFD...my personal feeling is that this example is important because it's the ring of integers of a number field that's not a UFD. So I guess all in all, my suggestions is to just replace "ring" with "number ring" in the title, or maybe even "(number) ring" to parenthetically remark on another special property of the ring.
Cam |
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