(On Separately Irresolute and Pre semi open Multiplication Mapping of Topological Spaces defined on Loops

Abstract

This paper is devoted to explore semi topological loops with respect to irresoluteness. It is also investigated that how separately irresolute and pre semi open multiplication mapping of topological spaces are defined on Inverse property loops. We mainly show that, semi closure of semi discrete sub-loop of a semi Irr-topological loop is also a sub-loop; a sub-loop of semi Irr-topological loop has semi isolated point if and only if it is semi discrete; Image under the composition of inverse mapping and left translation of a semi compact set in a semi Irr-topological IPloop is semi compact. In fact, we investigate the properties of Semi Irrtopological loops by enfeebling the conditions of continuity and openness.