A note on quasi irresolute topological groups

In this study, we investigate the further properties of quasi irresolute topological groups dened in [20]. We show that if a group homomorphism f between quasi irresolute topological groups is irresolute at eG, then f is irresolute on G. Later we prove that in a semi-connected quasi irresolute topological group (G; ; ), if V is any symmetric semi-open neighborhood of eG, then G is generated by V . Moreover it is proven that a subgroup H of a quasi irresolute topological group (G; ; ) is semi-discrete if and only if it has a semi-isolated point.