Relational galois connections

  • Authors:
  • Bernhard Ganter

  • Affiliations:
  • Institut für Algebra, Technische Universität Dresden

  • Venue:
  • ICFCA'07 Proceedings of the 5th international conference on Formal concept analysis
  • Year:
  • 2007

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Abstract

Galois connections can be defined for lattices and for ordered sets. We discuss a rather wide generalisation, which was introduced by Weiqun Xia and has been reinvented under different names: Relational Galois connections between relations. It turns out that the generalised notion is of importance for the original one and can be utilised, e.g., for computing Galois connections. The present paper may be understood as an attempt to bring together ideas of Wille [15], Xia [16], Domenach and Leclerc [3], and others and to suggest a unifying language.