arXiv:1810.09335 Abstract | arXiv Analytics

arXiv:1810.09335 [math.LO]Abstract References Reviews Resources

Residuated Relational Systems

Published 2018-10-22Version 1

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.

Comments: 15 pages, pre-print version of a paper on Asian-European Journal of Mathematics

Categories: math.LO

Keywords: residuated relational systems, residuated poset, generic binary relation, additional properties, adjointness

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