On the structure of cross connections and Galois connections

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Sep 1995 English Publisher:Springer Science and Business Media LLCJournal:Korean Journal of Computational & Applied Mathematics, volume 2, pages 63-68 (issn: 1226-0061,

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Authors: Hyo Sam Lee;

doi: 10.1007/bf03008964

On the structure of cross connections and Galois connections

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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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