Ux-Mal was an inhabitedstar system.
In the19th century, hundreds of criminals from Ux-Mal wereexiled to amoon ofMab-Bu VI. Theirconsciousness was separated from theirbodies, and left adrift to suffer in the moon's intenseelectromagnetic storms. (TNG: "Power Play")
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Based on the system's seemingly close proximity to theMab-Busystem, it would seem that this system is in, or is relatively near theAlpha Quadrant.