Search

In this chapter, the authors define operations ‘+' and ‘×' on the substructure ideals of the ring. They find under what conditions the collection of ideals are NeutroAlgebra under + and ×. The study is carried out in the case of Z and Z_n, the ring of integers and ring of modulo integers, respectively, where n is a composite number. This study is extended to the case of polynomial rings R[x], Q[x], Z[x], and Z_n [x] where R and Q are real and rational, respectively. Some open problems based on this study are proposed.