Published January 12, 2024
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COMBINATORIAL MODEL OF 3 DIMENSIONAL NILDEMPOTENCY STAR-LIKE CLASSES Ncω ∗ n PARTIAL ONE TO ONE SEMIGROUPS
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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.
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