  Let S be a commutative ring, x, y $\in$ S a pair of exact zero divisors, and
R = S/(x). Let F be a complex of free R-modules. In this paper we explicitly
compute cohomological operators of R over S by constructing endomorphisms of F.
We consider some properties of these cohomological operators, as well as
provide an example in which these cohomological operators act non-trivially.
