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The magic items as listed are designed for the slots they use. They generate an opportunity cost versus the other items you could get for the same slot. Freeing up the belt slot by making a ring of improved dexterity changes this balance, and it is one of the considerations a GM should pay attention to when he or she decides.
Can you? With GM permission. Should your GM allow you to? No.
Should you GM consider allowing you to multiply the cost of whatever other item you would like in the belt slot by 1.5 (or multiply the dex belt cost by 1.5 if cheaper) for the benefit of having multiple effects in the same slot? Maybe.
In 3.5 it was common to have multiple item slots eaten up by stat boosting items. Typically, everyone wanted to end up with a CON item, some kind of STR or DEX item (or both in the case of pure martial builds) and usually a WIS item, along with either a CHA or an INT item based on class needs. Because of this, 4 body slots usually got taken up being dedicated solely to improving stats. Pathfinder aimed to remedy this by having all physical stat items be placed into the belt slot, and invented a headband slot specifically for mental stat items. They also streamlined the pricing on improving multiple stats with Physical Might belts and Mental Prowess headbands, whose price is significantly lower than their prices would have been using the guidelines from magic item creation.
This being done means you typically need to improve more than one stat at a time, and pay for it. If you want to use your belt/headband slot for one item, and have another stat boosted, I would suggest an Ioun Stone for it, as they usually run about 8k a piece, but they stack with each other up to +6. 24k to get that +6 enhancement bonus is actually cheaper than the 36k for a single belt or headband.
72K for 3 full sets of ioun stones is less than the 144k it takes for a belt of +6 perfection or a +6 headband of mental superiority.
Except CON, get a belt for CON.
And those don't take up slots.
That said, making a ring would probably cost you roughly the same as an Ioun Stone to start (since ring is a much more versatile slot, and it leaves your other slot available) and would progress to undesirable cost levels for higher grade rings of stat items.
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As a GM, I have absolutely NO PROBLEM allowing a "shuffling" of spots. A dex ring is not an issue... I mean, in theory ioun stones are slotless, and pfs allows you to carry one or more in your wayfinder safe and sound, so why not a ring instead of gauntlets or belts? Meh, immaterial in the end, to be honest. If you can make them, you can make them weird. But that is me. Other GMs don't even like giving players +1 weapons, so ya know...
Ioun Stones are 24k per stacking +2 stat mod. Or for 16k, you can get stones that will stack only as far as +4 total. So 32k total for the +4.
So basically, it'll be 32k to get to +4, and 72k to get to +6, same as always.
I am not sure what you mean by stacking but if you have two Deep Red Sphere Ioun Stones that each offer a +2 Enhancement Bonus to Dexterity, then you just get a +2 Enhancement Bonus, not +4. Now, you could have one each of the 6 that give a bonus to each ability score but more than one per ability score would not allow for an extra bonus.
Maybe that was what you were saying but I just wanted to be clear.
As for the Ring of Dexterity, I think everyone else has said the correct answer, ask your DM.
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Ioun Stones are 24k per stacking +2 stat mod. Or for 16k, you can get stones that will stack only as far as +4 total. So 32k total for the +4.
So basically, it'll be 32k to get to +4, and 72k to get to +6, same as always.
I am not sure what you mean by stacking but if you have two Deep Red Sphere Ioun Stones that each offer a +2 Enhancement Bonus to Dexterity, then you just get a +2 Enhancement Bonus, not +4. Now, you could have one each of the 6 that give a bonus to each ability score but more than one per ability score would not allow for an extra bonus.
Maybe that was what you were saying but I just wanted to be clear.
As for the Ring of Dexterity, I think everyone else has said the correct answer, ask your DM.
He mean things like the Crimson sphere from Seeker of secrets, that give a +2 enhancement bonus to intelligence that can be stacked with the bonus from other Crimson spheres for a total of up to +6. Each Crimson sphere cost 24.000 gp.
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I have zero problem with characters spending multiple item slots rather than extra gold on improving multiple ability scores. They just have to make sense (eg Gloves of Dex allowed, but not a Headband of Dex).
They also streamlined the pricing on improving multiple stats with Physical Might belts and Mental Prowess headbands, whose price is significantly lower than their prices would have been using the guidelines from magic item creation.
They're not lower, they're exactly what the magic item creation guidelines say they should cost: the cost of the first enhancement, plus 1.5x the cost of every additional enhancement.
A belt of physical prowess +2 costs 10K, which is 1x 4K (belt of one stat +2) + 1.5x 4K(belt of second stat +2)
A belt of physical perfection +2 costs 16K, which is 1x 4K (belt of one stat +2) + 1.5x 4K(belt of second stat +2) + 1.5x 4K(belt of third stat +2)
Pattern holds true for +4 and +6 versions.
I have zero problem with characters spending multiple item slots rather than extra gold on improving multiple ability scores. They just have to make sense (eg Gloves of Dex allowed, but not a Headband of Dex).
They also streamlined the pricing on improving multiple stats with Physical Might belts and Mental Prowess headbands, whose price is significantly lower than their prices would have been using the guidelines from magic item creation.They're not lower, they're exactly what the magic item creation guidelines say they should cost: the cost of the first enhancement, plus 1.5x the cost of every additional enhancement.
A belt of physical prowess +2 costs 10K, which is 1x 4K (belt of one stat +2) + 1.5x 4K(belt of second stat +2)
A belt of physical perfection +2 costs 16K, which is 1x 4K (belt of one stat +2) + 1.5x 4K(belt of second stat +2) + 1.5x 4K(belt of third stat +2)
Pattern holds true for +4 and +6 versions.
My math was off, my bad.
Also it turns out there are two different Ioun Stones for each stat, with the stacking ones being 24K and the not stacking ones being 8K.
I feel as though I should resign from this thread.
If you want the "by the book" guideline:
Some Abilities Are Assigned to Certain Slots: Some of the magic items in the Core Rulebook are deliberately assigned to specific magic item slots for balance purposes, so that you have to make hard choices about what items to wear. In particular, the magic belts and circlets that give enhancement bonuses to ability scores are in this category—characters who want to enhance multiple physical or mental ability scores must pay extra for combination items like a belt of physical might or headband of mental prowess.
If there is a trend of all Core Rulebook items of a particular type using a particular slot (such as items that grant physical ability score bonuses being belts or items that grant movement bonuses being boots), GMs should be hesitant to allow you to move those abilities to other slots; otherwise, they ignore these deliberate restrictions by cheaply spreading out these items over unused slots.
Once you're aware of that, I guess the math given earlier in this thread can be useful.