On the definition of suitable orderings to generate adjunctions over an unstructured codomain

نویسندگان

  • Francisca García-Pardo
  • Inma P. Cabrera
  • Pablo Cordero
  • Manuel Ojeda-Aciego
  • Francisco J. Rodríguez-Sanchez
چکیده

Given a mapping f : A → B from a (pre-)ordered set A into an unstructured set B, we study the problem of defining a suitable (pre-)ordering relation on B such that there exists a mapping g : B → A such that the pair of mappings (f, g) forms an adjunction between (pre-)ordered sets. The necessary and sufficient conditions obtained are then expressed in terms of closure operators and closure systems.

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عنوان ژورنال:
  • Inf. Sci.

دوره 286  شماره 

صفحات  -

تاریخ انتشار 2014