{ "id": "2506.18573", "version": "v1", "published": "2025-06-23T12:25:30.000Z", "updated": "2025-06-23T12:25:30.000Z", "title": "The space of conradian left-preorders", "authors": [ "Iván Chércoles Cuesta" ], "comment": "33 pages", "categories": [ "math.GR" ], "abstract": "We define conradian left-preorders and the space of conradian left-preorders. We show that this space is either finite or uncountable. We describe conditions that are equivalent to say that the space of conradian left-preorders is finite. We provide some characterizations of conradian left-preorders.", "revisions": [ { "version": "v1", "updated": "2025-06-23T12:25:30.000Z" } ], "analyses": { "subjects": [ "06F15", "20F60" ], "keywords": [ "define conradian left-preorders", "conditions", "equivalent" ], "note": { "typesetting": "TeX", "pages": 33, "language": "en", "license": "arXiv", "status": "editable" } } }