{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T15:37:55Z","timestamp":1753889875332,"version":"3.41.2"},"reference-count":0,"publisher":"Centre pour la Communication Scientifique Directe (CCSD)","issue":"Algebraic methods","license":[{"start":{"date-parts":[[2017,8,23]],"date-time":"2017-08-23T00:00:00Z","timestamp":1503446400000},"content-version":"am","delay-in-days":0,"URL":"https:\/\/arxiv.org\/licenses\/nonexclusive-distrib\/1.0"},{"start":{"date-parts":[[2017,8,23]],"date-time":"2017-08-23T00:00:00Z","timestamp":1503446400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/arxiv.org\/licenses\/nonexclusive-distrib\/1.0"},{"start":{"date-parts":[[2017,8,23]],"date-time":"2017-08-23T00:00:00Z","timestamp":1503446400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/arxiv.org\/licenses\/nonexclusive-distrib\/1.0"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"accepted":{"date-parts":[[2025,3,31]]},"abstract":"<jats:p>We prove that connectors are stable under quotients in any (regular) Goursat category. As a consequence, the category $\\mathsf{Conn}(\\mathbb{C})$ of connectors in $\\mathbb{C}$ is a Goursat category whenever $\\mathbb C$ is. This implies that Goursat categories can be characterised in terms of a simple property of internal groupoids.<\/jats:p><jats:p>Comment: 14 pages, revised version (minor corrections)<\/jats:p>","DOI":"10.23638\/lmcs-13(3:14)2017","type":"journal-article","created":{"date-parts":[[2025,4,3]],"date-time":"2025-04-03T17:29:38Z","timestamp":1743701378000},"source":"Crossref","is-referenced-by-count":0,"title":["Some remarks on connectors and groupoids in Goursat categories"],"prefix":"10.23638","volume":"Volume 13, Issue 3","author":[{"given":"Marino","family":"Gran","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4816-3234","authenticated-orcid":false,"given":"Diana","family":"Rodelo","sequence":"additional","affiliation":[]},{"given":"Idriss Tchoffo","family":"Nguefeu","sequence":"additional","affiliation":[]}],"member":"25203","published-online":{"date-parts":[[2017,8,23]]},"container-title":["Logical Methods in Computer Science"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/arxiv.org\/pdf\/1701.07653v4","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/arxiv.org\/pdf\/1701.07653v4","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,4,3]],"date-time":"2025-04-03T17:29:38Z","timestamp":1743701378000},"score":1,"resource":{"primary":{"URL":"http:\/\/lmcs.episciences.org\/2671"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,8,23]]},"references-count":0,"journal-issue":{"issue":"Algebraic methods","published-online":{"date-parts":[[2017,8,23]]}},"URL":"https:\/\/doi.org\/10.23638\/lmcs-13(3:14)2017","relation":{"has-preprint":[{"id-type":"arxiv","id":"1701.07653v3","asserted-by":"subject"},{"id-type":"arxiv","id":"1701.07653v2","asserted-by":"subject"},{"id-type":"arxiv","id":"1701.07653v1","asserted-by":"subject"}],"is-same-as":[{"id-type":"arxiv","id":"1701.07653","asserted-by":"subject"},{"id-type":"doi","id":"10.48550\/arXiv.1701.07653","asserted-by":"subject"}]},"ISSN":["1860-5974"],"issn-type":[{"type":"electronic","value":"1860-5974"}],"subject":[],"published":{"date-parts":[[2017,8,23]]},"article-number":"2671"}}