Max(dL) revisited.

This article studies different topological properties of the space of maximal d -elements of an M -frame with a unit. We characterize when the space M a x (d L) is Hausdorff, answering the question posed in [2]. We also characterize other topological properties of M a x (d L) , namely zero-dimensional, discrete, and clopen π -base. The concept of weak-component elements is introduced here, as a generalized idea from the theory of rings, which is essential in the study of d -semiprime frames. [ABSTRACT FROM AUTHOR]