A Polynomial Composites and Monoid Domains as Algebraic Structures and their Applications

This paper contains the results collected so far on polynomial composites in terms of many basic algebraic properties. Since it is a structure, for monoid domains come here and there. The second part relationship between theory composites, Galois nilpotents. third this shows us some crypto systems. We find generalizations known ciphers taking into account infinite alphabet using simple methods. also two cryptosystems which structure Dedekind rings resides, namely certain elements are equivalent to fractional ideals. Finally, we use cryptology.