'TMZ Hollywood Sports' -- Iggy Rips Ex-BF ... He's Got Nothing On Nick Young

Iggy Azalea is BLASTING her ex-boyfriend ... claiming the guy is LYING about being married to her to so he can get his hands on her fortune.

Meanwhile, the rapper makes it crystal clear that there's only one man in her life ... Lakers star Nick Young.

Make sure to check out the brand NEW episode of "TMZ Hollywood Sports" on Reelz -- every weekday at 8pm ET, 5pm PT.