RT Journal Article
T1 Relational Galois connections between transitive digraphs: Characterization and construction.
A1 De-las-Peñas-Cabrera, Inmaculada
A1 Cordero-Ortega, Pablo
A1 Muñoz-Velasco, Emilio José
A1 Ojeda-Aciego, Manuel
A1 De Baets, Bernard
K1 Teoría de Galois
AB 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.
PB Elsevier
YR 2020
FD 2020
LK https://hdl.handle.net/10630/36475
UL https://hdl.handle.net/10630/36475
LA eng
NO https://openpolicyfinder.jisc.ac.uk/id/publication/16783
NO This work was partially supported by the Spanish research projects PGC2018-095869-B-I00, UMA2018-FEDERJA-001 and TIN2017-89023-P of the Science and Innovation Ministry of Spain and the European Social Fund.
DS RIUMA. Repositorio Institucional de la Universidad de Málaga
RD 19 ene 2026