Can someone explain to me how printer resolution works?

[Ferrariassassin]

I want to buy a printer that prints images equally as good as say a 1920x1080p monitor resolution but i have never dealt with printers or even owned one. What kind of printer can i get that will have similar quality to a 1920x1080p monitor?

 

[Darkbreeze]

This: http://printscan.about.com/od/printerscannerspecs/a/printerres.htm