In this paper we introduce the concept of kidempotent circulant matrices and discuss some of its basic characterizations. We obtain the necessary and sufficient conditions for the sum of two kidempotent circulant matrices to be kidempotent circulant and then it is generalized for the sum of ‘n’ kidempotent circulant matrices and also obtain the necessary and sufficient conditions for the product of two kidempotent circulant matrices to be kidempotent circulant and then it is generalized for the sum of ‘n’ kidempotent circulant matrices.
In this paper discoveries and additional, useful topological tools revealed in the continued investigation of T0-identification spaces are given, and easily used conditions that imply a space is not completely regular or T(3(12)) are given.