Ozzy Osbourne Still Wearing His Wedding Ring

Ozzy Osbourne surfaced a long way from home Tuesday, and while he's looking every bit like a guy in a crisis -- it also looks like he's not giving up on his marriage.

For some reason, Ozzy was down at the University of Phoenix in Orange County, CA ... when he held up his left hand and revealed he's still wearing his wedding ring.

This was just a few hours after Sharon Osbourne went on "The Talk" and confirmed what TMZ first reported -- that she's moved out of their house, now that Ozzy's returned.

Sharon says they're still talking -- obviously, he's keeping hope alive too.