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Articles

Vol. 2 No. 2 (2026): Volume 2 Issue 2 2026

Combinatorial inertia classes that represent stars Ncωn∗ complete one to one semi groups in a three- dimensional model

  • A. Akinwunmilk
  • S. Mogbonjuhb
  • H. Onyeozilif
Submitted
July 7, 2026
Published
2026-04-18

Abstract

Xn, where n is a number between 1 and n, must be distinct and non-negative. The 3D Nildempotency star-like classes
Ncω∏ partial one-one were examined with the help of the star-like operator |αwi −αwi+1| + |α∏wi − wi+1| ≤ |wi −
wi+1| + |α∏wi+1 − wi|. Additionally, a conventional rectangular A4 sheet of paper was used to create the geometric
model of a three-dimensional star-like nildempotency transformation semigroup.For every star-shaped polygon in
Ncω∏ with n star-shaped vertices V ∗, star-shaped edges E∗, star-shaped faces F ∗, and n star-shaped angles α∏, we
prove that V ∏ − E∏ + F ∏ = 2.