Mariah Carey's Still Sporting Engagement Ring

Mariah Carey is suddenly out every night after her breakup with James Packer ... making a statement with her presence and her ridiculously large engagement ring.

We got Mariah leaving Au Fudge in WeHo Sunday with her kids, and she was mum on whether she's a single lady. FYI ... she is.

As we reported, we know Mariah intends to keep the $10 million ring and is demanding a $50 mil settlement from Packer. They're negotiating now.

Mariah's manager, Stella, was coy about what happened on that yacht in Greece, but insinuates it's eyebrow raising.