Combinatorial Model of 3 Dimensional Nildempotency Star-Like Classes Ncω ∗ n Partial One to One Semigroups

Abstract

Let Xn = {1, 2, 3, ..., n} be a distinct non-negative integer. The 3 Dimensional Nildempotency star-like classes Ncω∗ n partial one-one was studied using the Star-like operator |αwi − αwi+1| + |α ∗wi − wi+1| ≤ |wi − wi+1| + |α ∗wi+1 − wi|. The geometric model of 3 Dimensional star-like Nildempotency transformation semigroup was also generated by using a standard rectangular A4 paper. We show that for any star-like polygon with n star-like vertices V ∗ , star-like edges E ∗ , star-like faces F ∗ and n star-like angles α ∗ in Ncω ∗
n then V ∗ − E ∗ + F ∗ = 2.