cheating helmet motorcycle

As rumors continue that Ashton Kutcher and Demi Moore have split due to recent reports of infidelity on the part of Kutcher, the actor proudly showed off his wedding ring while exiting a motorcycle shop in LA, on Thursday.

The Two and a Half Men star left the store with two bike helmets in hand -- could one be for Demi?

Since claims surfaced this week Ashton slept with a 23-year-old he met at a bar in San Diego last weekend, the pair have been posting cryptic messages about their relationship on Twitter.

Ashton addressed the rumors by Tweeting: "When you ASSUME to know that which you know nothing of you make an ASS out of U and ME." While Demi shared a pic of herself with her eyes closed and the caption, "I see through you ....".

Are Demi and Ashton headed for a split, or will they just forgive and forget?