Wide angle Len for Nikon DX camera?

I wanted to buy Sigma 10-20mm F3.5 Ex-Dc HSM len for Nikon but the camera that I'm planning to buy is DX camera. This len only work for FX camera. That what I seen in the review. Does anyone knows that this len work on the DX camera?

Another question is what lens would you recommend for Ultra Wide-Angle? Price doesn't matter but only if 1, 000 or less please. Thanks!

Added (1). What Wide-Angle len would be good on DX camera?

You read wrong. This lens is specifically designed for crop sensor cameras.

I have one & use it on a DX body (Nikon D300).

It will work on a DX camera, but the wide angle won't be quite as wide, being cropped to the equivalent angle of what a 15-30mm lens would look like on FX.

Oops, it looks like deep blue 2 is right, this is a DX lens. I probably should have known that, as making a 10mm to cover an FX sensor would be difficult.