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On projective $Z$-frames

This paper deals with the projective objects in the category of all $Z$-frames, where the latter is a common generalization of different types of frames. The main result obtained here is that a $Z$-frame is ${\bf E}$-projective if and only if it is stably $Z$-continuous, for a naturally arising collection ${\bf E}$ of morphisms.
 MSC Classifications: 06D05 - Structure and representation theory 54D10 - Lower separation axioms ($T_0$--$T_3$, etc.) 18D15 - Closed categories (closed monoidal and Cartesian closed categories, etc.)