More on Multivariate Polynomials: Monomials and Constant Polynomials

Let us note that there exists a non empty zero structure which is non trivial. Let us observe that every zero structure which is non trivial is also non empty. Let us mention that there exists a non trivial double loop structure which is Abelian, left zeroed, right zeroed, add-associative, right complementable, unital, associative, commutative, distributive, and integral domain-like. Let R be a non empty zero structure and let a be an element of R. We say that a is non-zero if and only if: (Def. 1) a 6= 0R. Let R be a non trivial zero structure. Note that there exists an element of R which is non-zero. Let X be a set, let R be a non empty zero structure, and let p be a series of X, R. We say that p is non-zero if and only if: