Displaying similar documents to “Amoeba relation and Galois-Tukey connections”

A Galois connection between distance functions and inequality relations

Árpád Száz (2002)

Mathematica Bohemica

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Following the ideas of R. DeMarr, we establish a Galois connection between distance functions on a set S and inequality relations on X S = S × . Moreover, we also investigate a relationship between the functions of S and X S .

Clausal relations and C-clones

Edith Vargas (2010)

Discussiones Mathematicae - General Algebra and Applications

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We introduce a special set of relations called clausal relations. We study a Galois connection Pol-CInv between the set of all finitary operations on a finite set D and the set of clausal relations, which is a restricted version of the Galois connection Pol-Inv. We define C-clones as the Galois closed sets of operations with respect to Pol-CInv and describe the lattice of all C-clones for the Boolean case D = {0,1}. Finally we prove certain results about C-clones over a larger set. ...