%0 Journal Article 
%A Cornejo Piñero, María Eugenia
%A Medina Moreno, Jesús
%A Ramírez Poussa, Eloísa
%T Algebraic structure and characterization of adjoint triples
%D 2021
%@ 0165-0114
%U http://hdl.handle.net/10498/30935
%X Implications pairs, adjoint pairs and adjoint triples provide general residuated structures considered in different mathematical theories. In this paper, we carry out a deep study on the operators involved in these structures, showing how they are characterized by means of the irreducible elements of a complete lattice. Moreover, the structure of each class of these operators will be analyzed. As a consequence, the use of these operators in real problems will be more tractable, fostering their consideration as basic and useful operators for providing, for instance, preferences among attributes and objects in a given database.
%K Adjoint triples
%K Residuated operators
%K Complete lattices
%~ Universidad de Cádiz