Abstract
Z-semicontinuous posets include semicontinuous lattices and Z-continuous posets as special cases. We characterized when the associated Z-waybelow relation is multiplicative and also make a topological connection.
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Powers, R.C., Riedel, T. Z-Semicontinuous Posets. Order 20, 365–371 (2003). https://doi.org/10.1023/B:ORDE.0000034615.95682.7c
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DOI: https://doi.org/10.1023/B:ORDE.0000034615.95682.7c