Is Multiplication A System? Maybe the term "Algebraic Structure" would be more suitable in this context, then numbers are the objects of the system and multiplication is one of the operations which will result in result that is already an object in the system ( another number real or complex).
Infinitely many primes in every row of array? @lewist : please edit this question and add content of your comment on the top replacing "a friend of mine ...", also do the same with previous question.