Topological Space in Finite Geometry with Variables in Integer Modulo \(d\)

Authors

  • Semiu Oladipupo Oladejo Department of Mathematical Sciences, Faculty of Science, Gombe State University, Gombe Nigeria
  • Aliyu Muhammed Awwal GSU-Mathematics for Innovative Research (GSU-MIR) Group, Department of Mathematical Sciences, Faculty of Science, Gombe State University, Gombe Nigeria

DOI:

https://doi.org/10.58715/ncao.2025.4.4

Keywords:

Lines, Non-near-linear finite geometry, Ring of integer modulo \(d\), Topology, Topological space

Abstract

In this paper, a special class of finite geometry is studied. Lines in the geometry are discussed. The existence of a partially ordered relation leads to the emergence of subgeometries via partial order, which by extension leads to the presence of topological spaces between geometry and its subgeometries, with subgeometries embedded in a topological space.

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Published

2025-10-01

How to Cite

Oladejo, S. O., & Awwal, A. M. (2025). Topological Space in Finite Geometry with Variables in Integer Modulo \(d\) . Nonlinear Convex Analysis and Optimization: An International Journal on Numerical, Computation and Applications, 4(2), 43–57. https://doi.org/10.58715/ncao.2025.4.4

Issue

Vol. 4 No. 2 (2025): July - December, 2025

Section

Articles

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Copyright (c) 2025 Nonlinear Convex Analysis and Optimization: An International Journal on Numerical, Computation and Applications

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