I hope this question is not too basic. I've asked various mathematicians in the past and had a good search through the Internet but with not a lot of luck.
I am interested in generalizations of Groups or Rings with more than the standard one or two operators. Perhaps one might say Sets with multiple (>2) ternary or even higher order operators.
I suspect someone may have at some point in the past proved that any generalisation can be reduced to a combination of Rings or Groups.
Another possibility is that this is something covered using Category Theory; then perhaps someone could point me to primer that covers the concept described.