projective system of topological quasi modules

Quasi module is a new algebraic structure, based on module, which is composed ofa semigroup structure and a partial order accompanied with an external ring multiplication.we proposed this structure in our paper [1] while we were studying the hyperspace c(m)consisting of all nonempty compact subsets of a topological module m over some topologicalring r. quasi module can be considered as a generalisation of module in some sense. in thepresent paper we have defined topological quasi module and given some examples of it. wehave shown that the cartesian product of arbitrary family of topological quasi modules isagain a topological quasi module over some topological unitary ring. finally we have definedprojective system of topological quasi modules and projective limit of this system. we haveproved various topological properties of the projective limit of a projective system.