Nano Hemiring Topological Structure Sapces

Abstract

This paper explores nano hemiring topological structure spaces by introducing the concepts of Nα-separated hemirings and NαH-connectedness. Based on the foundations of NαH-open and NαH-closed hemirings, these notions are used to analyze separation and connectivity within such spaces. Various properties are investigated to better understand their roles and significance, providing deeper insight into the structure of nano hemiring topological spaces.