  In [1], finite associative rings wih identity and such that the set of all
zero-divisors form and ideal M, called the Jacobson Radical, of cube zero and
square non-zero, were constructed for all the characteristics. These rings are
completely primary and we call them rings with property(T). In this paper, we
associate with each ring with property(T) and characteristic p, invariants
(integers) and determine (in certain cases) the number of isomorphism classes
of these rings with given invariants.
