a note on quasi irresolute topological groups

in this study, we investigate the further properties of quasi irresolute topological groupsdened in [20]. we show that if a group homomorphism f between quasi irresolute topologicalgroups is irresolute at eg, then f is irresolute on g. later we prove that in a semi-connectedquasi irresolute topological group (g; ; ), if v is any symmetric semi-open neighborhood ofeg, then g is generated by v . moreover it is proven that a subgroup h of a quasi irresolutetopological group (g; ; ) is semi-discrete if and only if it has a semi-isolated point.