is this cheating?

my boyfriend went over seas for work, and around the 2nd week he was there we got into a argument where he ended things. (he has my names tattoed on him & we have been together for a year) so i knew things really weren’t over he was just upset. when he got home he asked to meet up and things went fine. 2 days later one of his coworkers told me the last day overseas he hooked up with some girl. In my eyes to do anything with anyone else while my name on you is cheating and disrespectful to me. But what do u think!??

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