It's unclear how an apartment will generate dividends. This is a time share? Or a condo that you could live in but will be renting to others?
If you are a US taxpayer, you must report and pay income tax on all your worldwide income. If you pay foreign tax on the same money, that would be applied to your US tax return as a deduction or credit against your US tax, which reduces the potential for double taxation.
From your question, it is unclear how you would report the income. If you are renting out your property, that will generally be on a schedule E. If you are just sent a check as an "owner's share" of profits, that might be reported as "other income."