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oai:riuma.uma.es:10630/364752026-02-03T11:32:21Zcom_10630_2254col_10630_37953

00925njm 22002777a 4500 dc De-las-Peñas-Cabrera, Inmaculada author Cordero-Ortega, Pablo author Muñoz-Velasco, Emilio José author Ojeda-Aciego, Manuel author De Baets, Bernard author 2020 This paper focuses 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, not necessarily functions. A characterization theorem of the notion of relational Galois connection is provided and, then, it is proved that a suitable notion of closure can be obtained within this framework. Finally, we state a necessary and sufficient condition that allows to build a relational Galois connection starting from a single transitive digraph and a single binary relation. https://hdl.handle.net/10630/36475 10.1016/j.ins.2020.01.034 Teoría de Galois Relational Galois connections between transitive digraphs: Characterization and construction.