Abstract
We consider partially ordered set as passing from the set of ideals to the set of filters in Cartesian product of partially ordered sets. Lawson introduced the concept of cross connection with the ideal and filter. We show the relation between Galois connection and cross connection. Also we show the structure of z-algebraic partially ordered set in union-complete subset system.
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Lee, H.S. On the structure of cross connections and Galois connections. Korean J. CAM 2, 63–68 (1995). https://doi.org/10.1007/BF03008964
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DOI: https://doi.org/10.1007/BF03008964