{ "id": "1710.04634", "version": "v1", "published": "2017-10-12T17:37:31.000Z", "updated": "2017-10-12T17:37:31.000Z", "title": "Poloids from the Points of View of Partial Transformations and Category Theory", "authors": [ "Dan Jonsson" ], "comment": "11 pages", "categories": [ "math.CT" ], "abstract": "Monoids and groupoids are examples of poloids. On the one hand, poloids can be regarded as one-sorted categories; on the other hand, poloids can be represented by partial magmas of partial transformations. In this article, poloids are considered from these two points of view.", "revisions": [ { "version": "v1", "updated": "2017-10-12T17:37:31.000Z" } ], "analyses": { "keywords": [ "partial transformations", "category theory", "partial magmas", "one-sorted categories" ], "note": { "typesetting": "TeX", "pages": 11, "language": "en", "license": "arXiv", "status": "editable" } } }