ON RING HOMOMORPHISMS AND SOME PROPERTIES AMONG INTEGER RINGS

Abstract

The principle proposed in this paper is to give some solutions of Lcm(u, n) = 0 mod m and de- termine the number of ring homomorphisms from Zn to Zm as additive groups and as rings by using elementary results of number theory. We also introduce and investigate some properties of the class of ring homomorphisms from Zn to Zm.