Continuity of some mappings on a group via semi-regular topology

For a given topological space (X, =), there is a coarser topology on X which is called the semi-regular topology on X (generated by regularly open subsets) and it is denoted by =δ. In this paper, we study the continuity of the group operation and the inversion mapping (ς 7􀀀! ς −1) as regards the semi-regular topology =δ (not necessarily with the given topology). Then we study the said mappings with the blend of the given topology = and the semi-regular topology =δ. In the twilight of this note, we pose some questions which are noteworthy.