{
  "id": "1810.09335",
  "version": "v1",
  "published": "2018-10-22T14:57:54.000Z",
  "updated": "2018-10-22T14:57:54.000Z",
  "title": "Residuated Relational Systems",
  "authors": [
    "Stefano Bonzio",
    "Ivan Chajda"
  ],
  "comment": "15 pages, pre-print version of a paper on Asian-European Journal of Mathematics",
  "categories": [
    "math.LO"
  ],
  "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-10-22T14:57:54.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "residuated relational systems",
      "residuated poset",
      "generic binary relation",
      "additional properties",
      "adjointness"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}