Are there any sources that discuss the non-Jew's connection to and/or obligations regarding the 10 Commandments (i.e. the 10 Dibrot)
I've heard from rather learned (if not conventional) people claim that the 10 Commandments are the moral code for the whole world, but the only sources inside that I've seen discuss non-Jew's obligations tend to only bring up the 7 Noahide laws. In reality, the Christians tend to teach them as morally binding, and so do the Muslims, and many claim that they are important for inter-faith dialogue.
So what is the Torah stance on this? Shabbat seems like the most obvious one that would be questionable, and they were given at Sinai, so this makes them very personal between Hashem and the Jewish people. On the other hand, many of them seem like they would fall under 7 Noahide laws themselves, and they do carry a universal application and usefulness to morality for all humanity.