Abstract
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 Max(dL) is Hausdorff, answering the question posed in [2]. We also characterize other topological properties of Max(dL), 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.
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