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Generalizations of Galois and Pataki connections to relator spaces
Journal: Journal of the International Mathematical Virtual Institute (Vol.4, No. 1)Publication Date: 2015-01-07
Authors : Άrpad Szaz;
Page : 43-75
Keywords : Generalized ordered sets and uniform spaces; generalized Galois and Pataki connections; continuities of pairs of relations and relators.;
Source : Download Find it from : Google Scholar
Abstract
In this paper, by using the elementwise composition and inversion, and a unary operation for relators (families of binary relations), we introduce some natural generalizations of Galois and Pataki connections from ordered sets to relator spaces. More concretely, if R is a relator on X to Y , S is a relator on Z to W, F is a relator on X to Z, G is a relator on W to Y , and is a unary operation for relators such that ( S ? F ) = (( G )
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Last modified: 2015-01-09 18:35:26