One Dimensional p-adic Integral Value Transformations

In this paper, a set of transformations is defined on to. Some basic and naïve mathematical structure of is introduced. The concept of discrete dynamical systems through IVT and some further research scope of IVTs are highlighted. and 4]. A class of discrete transformations on named as Integral Value Transformations (IVT), corresponding to each of those CA rules, is introduced in the formation of k-dimensional fractal sequences. Some of the algebraic properties of the set of IVTs are formulated. The notion of differentiability of these discrete transformations is derived. The concept of discrete dynamical systems where IVTs are treated as dynamical system map is introduced. The Integral Value Transformations (IVTs) from to defined as : = = , = ,…… =. Let us fix the domain of IVTs as (k=1) and thus the above definition boils down to the following: () , Now, let us denote the set of as { | () }