About generalization in mathematics (II)

The goal of this paper is to explore some properties of the set of solutions of a system of equations. We will construct on the set Mσ = ( (x1, x2, …, xn) |xi ∈ R, xi = 2x 2 σ(i) 1+x2 σ−1(i) , i = 1, n) a boolean ring and we will find a method for determining the subrings of the boolean ring (P(X), ∆, ∩), where P(X) is the collection of all subsets of the set X = {1, 2, …, n}.