Abstract:We give a construction of Wallman-type realcompactifications of a frame $L$ by considering regular sub $\sigma $-frames the join of which generates $L$. In particular, we show that the largest such regular sub $\sigma $-frame gives rise to the universal realcompactification of $L$.
Keywords: frame, $\sigma $-frame, realcompactification
AMS Subject Classification: 18D35, 54D35, 54D52, 54J05