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A Relational Extension of Galois Connections
2019In this paper, we focus on a twofold relational generalization of the notion of Galois connection. It is twofold because it is defined between sets endowed with arbitrary transitive relations and, moreover, both components of the connection are relations as well.
Inma P. Cabrera +3 more
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Galois Connections in Axiomatic Aggregation
2011We investigate the relations between, on the one hand, Galois connections and the related types of maps and, on the other hand, the axiomatic Arrowian approach for the aggregation (or consensus) problem in lattices. In the latter one wants to "aggregate" n-tuples (n ≥ 2) of elements of a lattice L into an element of this lattice representing their ...
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On the structure of cross connections and Galois connections
Korean Journal of Computational & Applied Mathematics, 1995We 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.
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Non-constructive Galois-Tukey connections
Journal of Symbolic Logic, 1997AbstractThere are inequalities between cardinal characteristics of the continuum that are true in any model of ZFC, but without a Borel morphism proving the inequality. We answer some questions from Blass [1].
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Galois connections and data analysis
Fundam. Informaticae, 2004Summary: We investigate Galois connections and their relations to the major theories of (qualitative) data analysis: Rough Set Theory (RST), Formal Concept Analysis (FCA) and John Stuart Mill Reasoning (JSM-Reasoning). Polarities, a type of contravariant Galois connections, and their relationships with data analysis has been already well-known.
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GALOIS REPRESENTATIONS CONNECTED WITH HYPERBOLIC CURVES
Mathematics of the USSR-Izvestiya, 1992In 1983 Grothendieck formulated the so-called ``fundamental conjectures of the unabelian geometry''. The author defines the concept of elementary unabelian variety and considers the Grothendieck conjectures in this special setting, by studying the actions of the Galois groups on the fundamental groups of curves.
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Invariance Groups of Functions and Related Galois Connections
Beitrage Zur Algebra Und Geometrie, 2021Eszter K. Horváth, Reinhard Pöschel
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Hilbert Algebras With Hilbert–Galois Connections
Studia Logica, 2023Sérgio Celani, Daniela Montangie
exaly