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Oct 9 at 7:59 comment added Mens Thanks a lot for the detailed answer. I can't fully follow the dimension arguments (because I am not very familiar with dimension theory). Would you have a reference, where I can read up on this topic?
Oct 9 at 7:58 vote accept Mens
Oct 8 at 1:26 history edited Will Sawin CC BY-SA 4.0
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Oct 8 at 1:09 comment added Will Sawin @ZachTeitler Ah, I didn't notice because the notation is exactly the notation I would use for the ring of univariate polynomials.
Oct 8 at 1:00 comment added Zach Teitler The question is about multivariate polynomials and power series. When you talk about divisibility by $X$, it seems like you are working in the univariate case.
Oct 7 at 19:42 history answered Will Sawin CC BY-SA 4.0