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arXiv · 1810.09335

Residuated Relational Systems

Stefano Bonzio·Ivan Chajda
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Abstract

The aim of the present paper is to generalize the concept of residuated poset, by replacing the usual partial ordering by a generic binary relation, giving rise to relational systems which are residuated. In particular, we modify the definition of adjointness in such a way that the ordering relation can be harmlessly replaced by a binary relation. By enriching such binary relation with additional properties we get interesting properties of residuated relational systems which are analogical to those of residuated posets and lattices.

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Stefano Bonzio, Ivan Chajda. 2018-10-22. Residuated Relational Systems. https://doi.org/10.1142/s1793557118500249.

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