‎For a given topological space $(X‎, ‎~\Im)$,‎ ‎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 $\Im^{\delta}$‎. ‎In this paper‎, ‎we study the continuity of the group operation and the inversion mapping ($\varsigma\longmapsto\varsigma^{-1}$) as regards the semi-regular topology $\Im^{\delta}$ (not necessarily with the given topology)‎. ‎Then we study the said mappings with the blend of the given topology $\Im$ and the semi-regular topology $\Im^{\delta}$‎. ‎In the twilight of this note‎, ‎we pose some questions which are noteworthy‎. Manuscript profile