Getting HDMI to DVI-D cable for PS3 on monitor. Have a question.

[DTG]

I'm planning on hooking up my ps3 to my 1080p lcd monitor. So I' buying a hdmi to dvi-d cable. I just want to make sure whether all dvi-d cables support up to 1080 or if different dvi-d cables support different resolutions? Is there a minimum and maximum resolution for these?