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Timeline for Dimension of a commutative ring

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Jun 25, 2016 at 13:15 history edited Sean Lawton CC BY-SA 3.0
Editted formatting to make question easier to read.
Dec 13, 2015 at 3:41 answer added Todd Leason timeline score: 2
Dec 12, 2015 at 19:29 comment added Jason Starr I think that you did not understand the point of my comment. For a product of two rings, the prime spectrum (with the Zariski topology) is the disjoint union of the prime spectra of the factors. Thus, even if one factor ring fails to be Jacobson, if the factor ring with larger dimension is Jacobson, forming the quotient by the Jacobson radical will not change the dimension.
Dec 12, 2015 at 18:39 history edited Anderia silva CC BY-SA 3.0
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Dec 12, 2015 at 18:38 comment added Anderia silva $R $ is not any special ring in general, such as a product of Jacobson rings.
Dec 12, 2015 at 18:22 comment added Jason Starr What if your ring is a product of a Jacobson ring, such as $\mathbb{C}[x,y]$ and a non-Jacobson ring, such as $\mathbb{C}[t]_{\langle t \rangle}$? Then what do you get for both sides of your inequality?
Dec 12, 2015 at 18:19 review First posts
Dec 12, 2015 at 19:47
Dec 12, 2015 at 18:16 history asked Anderia silva CC BY-SA 3.0