ABSTRACT
Let R be a commutative ring with nonzero identity, 1, and let Z(R) denote the set of zero divisors of R; i.e., Z(R) = {r ∈ R | rs = 0 for some nonzero s ∈ R}. We denote the total quotient ring of R by T(R), it consists of the “simple” fractions of the form r/s where r ∈ R and s ∈ R∖Z(R). For a polynomial f(x) ∈ R [x] we let C(f) denote the ideal of R that is generated by the coefficients of f(x). A polynomial f(x) has unit content if C(f) = R, the set of all such polynomials will be denoted by 𝒰 and R(x) will be used to denote the ring R[x] 𝒰 .
