{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,1]],"date-time":"2025-11-01T06:10:53Z","timestamp":1761977453315,"version":"build-2065373602"},"reference-count":17,"publisher":"Springer Science and Business Media LLC","issue":"5-6","license":[{"start":{"date-parts":[[2013,11,28]],"date-time":"2013-11-28T00:00:00Z","timestamp":1385596800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Appl Categor Struct"],"published-print":{"date-parts":[[2014,10]]},"DOI":"10.1007\/s10485-013-9344-5","type":"journal-article","created":{"date-parts":[[2013,11,27]],"date-time":"2013-11-27T09:41:34Z","timestamp":1385545294000},"page":"687-697","source":"Crossref","is-referenced-by-count":8,"title":["Semidirect Products and Split Short Five Lemma in Normal Categories"],"prefix":"10.1007","volume":"22","author":[{"given":"Nelson","family":"Martins-Ferreira","sequence":"first","affiliation":[]},{"given":"Andrea","family":"Montoli","sequence":"additional","affiliation":[]},{"given":"Manuela","family":"Sobral","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2013,11,28]]},"reference":[{"key":"9344_CR1","doi-asserted-by":"crossref","unstructured":"Barr, M.: Exact categories. In: Lecture Notes in Mathematics, vol. 236, pp. 1\u2013120. Springer-Verlag (1971)","DOI":"10.1007\/BFb0058580"},{"key":"9344_CR2","unstructured":"Barr, M., Wells, C.: Toposes, triples, theories, Reprints in Theory and Applications of Categories, no. 12 (2005)"},{"key":"9344_CR3","doi-asserted-by":"crossref","unstructured":"Borceux, F., Bourn, D.: Mal\u2019cev, Protomodular, Homological and Semi-abelian Categories, Mathematics and its Applications, vol. 566. Kluwer (2004)","DOI":"10.1007\/978-1-4020-1962-3"},{"issue":"2","key":"9344_CR4","first-page":"235","volume":"46","author":"F Borceux","year":"2005","unstructured":"Borceux, F., Janelidze, G., Kelly, G.M.: Internal object actions. Commentationes Mathematicae Universitatis Carolinae 46(2), 235\u2013255 (2005)","journal-title":"Commentationes Mathematicae Universitatis Carolinae"},{"key":"9344_CR5","doi-asserted-by":"crossref","unstructured":"Bourn, D.: Normalization equivalence, kernel equivalence and affine categories. In: Lecture Notes in Mathematics, vol. 1488, pp. 43\u201362. Springer-Verlag (1991)","DOI":"10.1007\/BFb0084212"},{"issue":"2","key":"9344_CR6","first-page":"37","volume":"4","author":"D Bourn","year":"1998","unstructured":"Bourn, D., Janelidze, G.: Protomodularity, descent, products, semidirect. Theory Appl. Categ. 4(2), 37\u201346 (1998)","journal-title":"Theory Appl. Categ."},{"key":"9344_CR7","doi-asserted-by":"crossref","first-page":"271","DOI":"10.1016\/0022-4049(91)90022-T","volume":"69","author":"A Carboni","year":"1990","unstructured":"Carboni, A., Lambek, J., Pedicchio, M.C.: Diagram chasing in Mal\u2019cev categories. J. Pure Appl. Algebra 69, 271\u2013284 (1990)","journal-title":"J. Pure Appl. Algebra"},{"key":"9344_CR8","doi-asserted-by":"crossref","first-page":"45","DOI":"10.1007\/BF01191491","volume":"19","author":"HP Gumm","year":"1984","unstructured":"Gumm, H.P., Ursini, A.: Ideals in universal algebra. Algebra Universalis 19, 45\u201354 (1984)","journal-title":"Algebra Universalis"},{"key":"9344_CR9","unstructured":"Hartl, M., Loiseau, B.: Internal object actions in homological categories, preprint, arXiv: 1003.0096v1"},{"key":"9344_CR10","first-page":"115","volume":"2","author":"G Janelidze","year":"2010","unstructured":"Janelidze, G., Marki, L., Tholen, W., Ursini, A.: Ideal determined categories. Cahiers Top Geom. Diff. Cat. LI 2, 115\u2013125 (2010)","journal-title":"Cahiers Top Geom. Diff. Cat. LI"},{"key":"9344_CR11","doi-asserted-by":"crossref","first-page":"191","DOI":"10.1016\/j.jalgebra.2006.05.022","volume":"307","author":"G Janelidze","year":"2007","unstructured":"Janelidze, G., Marki, L., Ursini, A.: Ideals and clots in universal algebra and in semi-abelian categories. J. Algebra 307, 191\u2013208 (2007)","journal-title":"J. Algebra"},{"issue":"11","key":"9344_CR12","first-page":"221","volume":"23","author":"Z Janelidze","year":"2010","unstructured":"Janelidze, Z.: The pointed subobject functor, 3 \u00d7 3 lemmas, and subtractivity of spans. Theory Appl. Categ. 23(11), 221\u2013242 (2010)","journal-title":"Theory Appl. Categ."},{"issue":"8","key":"9344_CR13","first-page":"174","volume":"27","author":"S Mantovani","year":"2012","unstructured":"Mantovani, S.: The Ursini commutator as normalized Smith-Pedicchio commutator. Theory Appl. Categ 27(8), 174\u2013188 (2012)","journal-title":"Theory Appl. Categ"},{"key":"9344_CR14","doi-asserted-by":"crossref","first-page":"1968","DOI":"10.1016\/j.jpaa.2012.02.035","volume":"216","author":"N Martins-Ferreira","year":"2012","unstructured":"Martins-Ferreira, N., Sobral, M.: On categories with semi-direct products. J. Pure Appl. Algebra 216, 1968\u20131975 (2012)","journal-title":"J. Pure Appl. Algebra"},{"key":"9344_CR15","doi-asserted-by":"crossref","first-page":"334","DOI":"10.1016\/j.jpaa.2012.06.022","volume":"217","author":"N Martins-Ferreira","year":"2013","unstructured":"Martins-Ferreira, N., Montoli, A., Sobral, M.: Semidirect products and crossed modules in monoids with operations. J. Pure Appl. Algebra 217, 334\u2013347 (2013)","journal-title":"J. Pure Appl. Algebra"},{"key":"9344_CR16","doi-asserted-by":"crossref","first-page":"1854","DOI":"10.1016\/j.jpaa.2009.12.029","volume":"214","author":"G Metere","year":"2010","unstructured":"Metere, G., Montoli, A.: Semidirect products of internal groupoids. J. Pure Appl. Algebra 214, 1854\u20131861 (2010)","journal-title":"J. Pure Appl. Algebra"},{"key":"9344_CR17","doi-asserted-by":"crossref","first-page":"182","DOI":"10.1007\/BF02944976","volume":"1","author":"A Mitschke","year":"1971","unstructured":"Mitschke, A.: Implication algebras are 3-permutable and 3-distributive. Algebra Universalis 1, 182\u2013186 (1971)","journal-title":"Algebra Universalis"}],"container-title":["Applied Categorical Structures"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10485-013-9344-5.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10485-013-9344-5\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10485-013-9344-5","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,4]],"date-time":"2019-08-04T04:46:38Z","timestamp":1564893998000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10485-013-9344-5"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013,11,28]]},"references-count":17,"journal-issue":{"issue":"5-6","published-print":{"date-parts":[[2014,10]]}},"alternative-id":["9344"],"URL":"https:\/\/doi.org\/10.1007\/s10485-013-9344-5","relation":{},"ISSN":["0927-2852","1572-9095"],"issn-type":[{"type":"print","value":"0927-2852"},{"type":"electronic","value":"1572-9095"}],"subject":[],"published":{"date-parts":[[2013,11,28]]}}}