{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,21]],"date-time":"2025-09-21T17:28:22Z","timestamp":1758475702103},"reference-count":24,"publisher":"Springer Science and Business Media LLC","issue":"5","license":[{"start":{"date-parts":[[2018,2,12]],"date-time":"2018-02-12T00:00:00Z","timestamp":1518393600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Appl Categor Struct"],"published-print":{"date-parts":[[2018,10]]},"DOI":"10.1007\/s10485-018-9515-5","type":"journal-article","created":{"date-parts":[[2018,2,12]],"date-time":"2018-02-12T09:42:59Z","timestamp":1518428579000},"page":"931-942","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["A Relative Monotone-Light Factorization System for Internal Groupoids"],"prefix":"10.1007","volume":"26","author":[{"given":"Alan S.","family":"Cigoli","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Tomas","family":"Everaert","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Marino","family":"Gran","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2018,2,12]]},"reference":[{"key":"9515_CR1","first-page":"197","volume":"28","author":"D Bourn","year":"1987","unstructured":"Bourn, D.: The shift functor and the comprehensive factorization for internal groupoids. Cah. Topol. G\u00e9om. Diff\u00e9r. Cat\u00e9g. 28, 197\u2013226 (1987)","journal-title":"Cah. Topol. G\u00e9om. Diff\u00e9r. Cat\u00e9g."},{"key":"9515_CR2","doi-asserted-by":"publisher","first-page":"117","DOI":"10.1016\/S0022-4049(02)00143-3","volume":"177","author":"D Bourn","year":"2003","unstructured":"Bourn, D.: The denormalized $$3 \\times 3$$ 3 \u00d7 3 lemma. J. Pure Appl. Algebra 177, 117\u2013129 (2003)","journal-title":"J. Pure Appl. Algebra"},{"key":"9515_CR3","volume-title":"Topology and groupoids, Third edition of Elements of modern topology, 1968","author":"R Brown","year":"2006","unstructured":"Brown, R.: Topology and groupoids, Third edition of Elements of modern topology, 1968. McGraw-Hill, BookSurge, New York (2006)"},{"key":"9515_CR4","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1023\/A:1008620404444","volume":"5","author":"A Carboni","year":"1997","unstructured":"Carboni, A., Janelidze, G., Kelly, G.M., Par\u00e9, R.: On localization and stabilization of factorization systems. Appl. Categ. Struct. 5, 1\u201358 (1997)","journal-title":"Appl. Categ. Struct."},{"key":"9515_CR5","doi-asserted-by":"publisher","first-page":"287","DOI":"10.1017\/S1446788700023624","volume":"38","author":"C Cassidy","year":"1985","unstructured":"Cassidy, C., H\u00e9bert, M., Kelly, G.M.: Reflective subcategories, localizations and factorizations systems. J. Aust. Math. Soc. 38, 287\u2013329 (1985)","journal-title":"J. Aust. Math. Soc."},{"key":"9515_CR6","doi-asserted-by":"publisher","first-page":"501","DOI":"10.4310\/HHA.2004.v6.n1.a24","volume":"6","author":"D Chikhladze","year":"2004","unstructured":"Chikhladze, D.: Monotone-light factorization for Kan fibrations of simplicial sets with respect to groupoids. Homol. Homot. Appl. 6, 501\u2013505 (2004)","journal-title":"Homol. Homot. Appl."},{"key":"9515_CR7","unstructured":"Cigoli, A.S.: A characterization of final functors between internal groupoids in exact categories. preprint arXiv:1711.10747"},{"key":"9515_CR8","doi-asserted-by":"publisher","first-page":"931","DOI":"10.1007\/s10485-013-9348-1","volume":"22","author":"AS Cigoli","year":"2014","unstructured":"Cigoli, A.S., Mantovani, S., Metere, G.: A push forward construction and the comprehensive factorization for internal crossed modules. Appl. Categ. Struct. 22, 931\u2013960 (2014)","journal-title":"Appl. Categ. Struct."},{"key":"9515_CR9","doi-asserted-by":"publisher","first-page":"996","DOI":"10.1016\/j.bulsci.2013.02.004","volume":"137","author":"T Everaert","year":"2013","unstructured":"Everaert, T., Gran, M.: Monotone-light factorisation systems and torsion theories. Bull. Sci. Math. 137, 996\u20131006 (2013)","journal-title":"Bull. Sci. Math."},{"key":"9515_CR10","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-85844-4","volume-title":"Calculus of fractions and homotopy theory","author":"P Gabriel","year":"1967","unstructured":"Gabriel, P., Zisman, M.: Calculus of fractions and homotopy theory. Springer, Berlin (1967)"},{"key":"9515_CR11","doi-asserted-by":"publisher","first-page":"221","DOI":"10.1016\/S0022-4049(98)00112-1","volume":"143","author":"M Gran","year":"1999","unstructured":"Gran, M.: Internal categories in Mal\u2019cev categories. J. Pure Appl. Algebra 143, 221\u2013229 (1999)","journal-title":"J. Pure Appl. Algebra"},{"key":"9515_CR12","doi-asserted-by":"publisher","first-page":"139","DOI":"10.1016\/S0022-4049(99)00092-4","volume":"155","author":"M Gran","year":"2001","unstructured":"Gran, M.: Central extensions and internal groupoids in Maltsev categories. J. Pure Appl. Algebra 155, 139\u2013166 (2001)","journal-title":"J. Pure Appl. Algebra"},{"key":"9515_CR13","doi-asserted-by":"publisher","first-page":"229","DOI":"10.1007\/s10485-010-9236-x","volume":"20","author":"M Gran","year":"2012","unstructured":"Gran, M., Rodelo, D.: A new characterisation of Goursat categories. Appl. Categ. Struct. 20, 229\u2013238 (2012)","journal-title":"Appl. Categ. Struct."},{"key":"9515_CR14","first-page":"1","volume":"7","author":"PJ Higgins","year":"2005","unstructured":"Higgins, P.J.: Categories and Groupoids. Reprint on the original Notes on categories and groupoids [Van Nostrand Reinhold, London, 1971]. Repr. Theory Appl. Categ. 7, 1\u2013195 (2005)","journal-title":"Repr. Theory Appl. Categ."},{"key":"9515_CR15","doi-asserted-by":"publisher","DOI":"10.1007\/BFb0059573","volume-title":"Complexe cotangent et d\u00e9formations II, Lecture Notes in Mathematics","author":"L Illusie","year":"1972","unstructured":"Illusie, L.: Complexe cotangent et d\u00e9formations II, Lecture Notes in Mathematics, vol. 283. Springer, Berlin (1972)"},{"key":"9515_CR16","doi-asserted-by":"publisher","first-page":"359","DOI":"10.1070\/SM1989v064n02ABEH003313","volume":"64","author":"G Janelidze","year":"1989","unstructured":"Janelidze, G., Dzhanelidze, G.Z.: The fundamental theorem of Galois theory. Math. USSR-Sb. 64, 359\u2013374 (1989)","journal-title":"Math. USSR-Sb."},{"key":"9515_CR17","doi-asserted-by":"publisher","first-page":"270","DOI":"10.1016\/0021-8693(90)90130-G","volume":"132","author":"G Janelidze","year":"1990","unstructured":"Janelidze, G.: Pure galois theory in categories. J. Algebra 132, 270\u2013286 (1990)","journal-title":"J. Algebra"},{"key":"9515_CR18","doi-asserted-by":"crossref","first-page":"99","DOI":"10.1515\/GMJ.2003.99","volume":"10","author":"G Janelidze","year":"2003","unstructured":"Janelidze, G.: Internal crossed modules. Georgian Math. J. 10, 99\u2013114 (2003)","journal-title":"Georgian Math. J."},{"key":"9515_CR19","doi-asserted-by":"publisher","first-page":"135","DOI":"10.1016\/0022-4049(94)90057-4","volume":"97","author":"G Janelidze","year":"1994","unstructured":"Janelidze, G., Kelly, G.M.: Galois theory and a general notion of central extension. J. Pure Appl. Algebra 97, 135\u2013161 (1994)","journal-title":"J. Pure Appl. Algebra"},{"key":"9515_CR20","unstructured":"Janelidze, G., Sobral, M., Tholen, W.: Beyond Barr exactness: effective descent morphisms, In: M.C. Pedicchio, W. Tholen (Eds.), Categorical Foundations: Special Topics in Order, Topology, Algebra and Sheaf Theory, in: Encyclopedia of Math. Appl., vol. 97, Cambridge University Press, 2004, pp. 359\u2013405"},{"key":"9515_CR21","doi-asserted-by":"publisher","first-page":"1","DOI":"10.4310\/HHA.2004.v6.n1.a1","volume":"6","author":"S Lack","year":"2004","unstructured":"Lack, S.: The 3-by-3 lemma for Goursat categories. Homol. Homot. Appl. 6, 1\u20133 (2004)","journal-title":"Homol. Homot. Appl."},{"key":"9515_CR22","unstructured":"Le Creurer, I.: Descent of internal categories, Ph.D. thesis, Universit\u00e9 catholique de Louvain: Louvain(1999)"},{"key":"9515_CR23","doi-asserted-by":"publisher","first-page":"936","DOI":"10.1090\/S0002-9904-1973-13268-9","volume":"79","author":"R Street","year":"1973","unstructured":"Street, R., Walters, R.F.C.: The comprehensive factorization of a functor. Bull. Am. Math. Soc. 79, 936\u2013941 (1973)","journal-title":"Bull. Am. Math. Soc."},{"key":"9515_CR24","first-page":"235","volume":"15","author":"JJ Xarez","year":"2004","unstructured":"Xarez, J.J.: Internal monotone-light factorization for categories via preorders. Theory Appl. Categ. 15, 235\u2013251 (2004)","journal-title":"Theory Appl. Categ."}],"container-title":["Applied Categorical Structures"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10485-018-9515-5\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10485-018-9515-5.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10485-018-9515-5.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,10,10]],"date-time":"2019-10-10T20:24:33Z","timestamp":1570739073000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10485-018-9515-5"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,2,12]]},"references-count":24,"journal-issue":{"issue":"5","published-print":{"date-parts":[[2018,10]]}},"alternative-id":["9515"],"URL":"https:\/\/doi.org\/10.1007\/s10485-018-9515-5","relation":{},"ISSN":["0927-2852","1572-9095"],"issn-type":[{"value":"0927-2852","type":"print"},{"value":"1572-9095","type":"electronic"}],"subject":[],"published":{"date-parts":[[2018,2,12]]},"assertion":[{"value":"28 November 2017","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"2 January 2018","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"12 February 2018","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}