The word Serbian might be:

• an adjective, meaning:
  • "of Serbs" (Serbian tradition, Serbian religion)
  • "of Serbia" (Serbian government, Serbian president)
  • both of the above (Serbian flag)
• a noun, meaning:
  • "a Serb"
  • "a Serb from Serbia" (as opposed to Serb who is not from Serbia)
  • "citizen of Serbia" (regardless of nationality)
• short for Serbian language

Pay attention that a link that has two meanings should still point here.