Ashton Kutcher's still got a ring on it.

As rumors continue to accumulate about supposed marital strife with Demi Moore, the 33-year-old Two and a Half Men star hit an L.A. motorcycle shop on Thursday. Photos at X17 reveal Kutcher (in a typically super-casual outfit) emerging from the store with two new motorcycle helmets -- and with his wedding band still on his finger.

Kutcher hasn't directly addressed rumors that he cheated on wife Moore, 48, with several women. But he Tweeted on Thursday: "When you ASSUME to know that which you know nothing of, you make an ASS out of U and ME." Earlier in the day, he linked to the Public Enemy classic, "Don't Believe the Hype."

What about wife of six years Moore?

She vaguely alluded to problems with a recent Tweet: "When we are offended at any man's fault, turn to yourself and study your own failings. Then you will forget your anger."

Moore (who canceled  also shared a somber self-portrait with the caption: "I see through you."

The couple also spent their sixth wedding anniversary, Sept. 24 apart, and Moore pulled  out of a planned West Hollywood Tuesday appearance last minute.