{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,5]],"date-time":"2026-02-05T09:52:50Z","timestamp":1770285170571,"version":"3.49.0"},"reference-count":19,"publisher":"Springer Science and Business Media LLC","issue":"5","license":[{"start":{"date-parts":[[2021,4,23]],"date-time":"2021-04-23T00:00:00Z","timestamp":1619136000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2021,4,23]],"date-time":"2021-04-23T00:00:00Z","timestamp":1619136000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Appl Categor Struct"],"published-print":{"date-parts":[[2021,10]]},"DOI":"10.1007\/s10485-021-09635-z","type":"journal-article","created":{"date-parts":[[2021,4,23]],"date-time":"2021-04-23T06:02:31Z","timestamp":1619157751000},"page":"827-847","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Homotopies of Crossed Modules of R-Algebroids"],"prefix":"10.1007","volume":"29","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-5415-6129","authenticated-orcid":false,"given":"Osman","family":"Avc\u0131o\u011flu","sequence":"first","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2021,4,23]]},"reference":[{"key":"9635_CR1","unstructured":"Ak\u00e7a, \u0130.\u0130., Avc\u0131o\u011flu, O.: Homotopies of crossed complex morphisms of associative $$R$$-algebras. Georgian Math. J. 28(2), 163\u2013172 (2021)"},{"key":"9635_CR2","doi-asserted-by":"crossref","unstructured":"Ak\u00e7a, \u0130.\u0130., Emir, K., Martins, J.F.: Pointed homotopy of maps between 2-crossed modules of commutative algebras. Homol. Homotopy Appl. 18(1), 99\u2013128 (2016)","DOI":"10.4310\/HHA.2016.v18.n1.a6"},{"key":"9635_CR3","doi-asserted-by":"crossref","unstructured":"Ak\u00e7a, \u0130.\u0130., Emir, K., Martins, J.F.: Two-fold homotopy of 2-crossed module maps of commutative algebras. Commun. Algebra 47(1), 289\u2013311 (2019)","DOI":"10.1080\/00927872.2018.1476523"},{"key":"9635_CR4","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/0022-4049(86)90026-5","volume":"40","author":"SM Amgott","year":"1986","unstructured":"Amgott, S.M.: Separable categories. J. Pure Appl. Algebra 40, 1\u201314 (1986)","journal-title":"J. Pure Appl. Algebra"},{"key":"9635_CR5","doi-asserted-by":"publisher","first-page":"360","DOI":"10.1007\/BF01209171","volume":"96","author":"H Brandt","year":"1927","unstructured":"Brandt, H.: \u00dcber eine Verallgemeinerung des Gruppenbegriffes. Math. Ann. 96, 360\u2013366 (1927)","journal-title":"Math. Ann."},{"issue":"2","key":"9635_CR6","doi-asserted-by":"publisher","first-page":"113","DOI":"10.1112\/blms\/19.2.113","volume":"19","author":"R Brown","year":"1987","unstructured":"Brown, R.: From groups to groupoids: a brief survey. Bull. Lond. Math. Soc. 19(2), 113\u2013134 (1987)","journal-title":"Bull. Lond. Math. Soc."},{"issue":"2","key":"9635_CR7","doi-asserted-by":"publisher","first-page":"185","DOI":"10.1023\/A:1023544303612","volume":"11","author":"R Brown","year":"2003","unstructured":"Brown, R., \u0130\u00e7en, \u0130.: Homotopies and automorphisms of crossed modules of groupoids. Appl. Categ. Struct. 11(2), 185\u2013206 (2003)","journal-title":"Appl. Categ. Struct."},{"issue":"6","key":"9635_CR8","doi-asserted-by":"publisher","first-page":"1044","DOI":"10.1090\/S0002-9904-1966-11639-7","volume":"72","author":"P Dedecker","year":"1966","unstructured":"Dedecker, P., Lue, A.S.-T.: A nonabelian two-dimensional cohomology for associative algebras. Bull. Am. Math. Soc. 72(6), 1044\u20131050 (1966)","journal-title":"Bull. Am. Math. Soc."},{"key":"9635_CR9","doi-asserted-by":"crossref","unstructured":"Fern\u00e1ndez-Fari\u00f1a, A., Ladra, M.: Braiding for categorical algebras and crossed modules of algebras I: associative and Lie algebras. J. Algebra Appl. 19(09), 2050176 (2020)","DOI":"10.1142\/S0219498820501765"},{"key":"9635_CR10","unstructured":"Higgins, P.J.: Categories and Groupoids. Van Nostrand Reinhold, 1971, Reprints in Theory and Applications of Categories, No. 7, pp. 1\u2013195 (2005)"},{"issue":"1","key":"9635_CR11","doi-asserted-by":"publisher","first-page":"79","DOI":"10.4310\/HHA.1999.v1.n1.a2","volume":"1","author":"KH Kamps","year":"1999","unstructured":"Kamps, K.H., Porter, T.: A homotopy 2-groupoid from a fibration. Homol. Homotopy Appl. 1(1), 79\u201393 (1999)","journal-title":"Homol. Homotopy Appl."},{"issue":"1","key":"9635_CR12","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/0001-8708(72)90002-3","volume":"8","author":"B Mitchell","year":"1972","unstructured":"Mitchell, B.: Rings with several objects. Adv. Math. 8(1), 1\u2013161 (1972)","journal-title":"Adv. Math."},{"key":"9635_CR13","doi-asserted-by":"publisher","first-page":"867","DOI":"10.1090\/S0002-9904-1978-14530-3","volume":"84","author":"B Mitchell","year":"1978","unstructured":"Mitchell, B.: Some applications of module theory to functor categories. Bull. Am. Math. Soc. 84, 867\u2013885 (1978)","journal-title":"Bull. Am. Math. Soc."},{"key":"9635_CR14","doi-asserted-by":"crossref","unstructured":"Mitchell, B.: Separable algebroids. Mem. Am. Math. Soc. 57, no. 333, 96 pp (1985)","DOI":"10.1090\/memo\/0333"},{"key":"9635_CR15","unstructured":"Mosa, G.H.: Higher dimensional algebroids and crossed complexes. Ph.D. Thesis, University of Wales, Bangor (1986)"},{"issue":"1","key":"9635_CR16","doi-asserted-by":"publisher","first-page":"75","DOI":"10.4310\/HHA.2007.v9.n1.a3","volume":"9","author":"B Noohi","year":"2007","unstructured":"Noohi, B.: Notes on 2-groupoids, 2-groups and crossed modules. Homol. Homotopy Appl. 9(1), 75\u2013106 (2007)","journal-title":"Homol. Homotopy Appl."},{"key":"9635_CR17","unstructured":"Shammu, N.M.: Algebraic and categorical structure of categories of crossed modules of algebras. Ph.D. Thesis, University of Wales, Bangor (1992)"},{"issue":"2","key":"9635_CR18","doi-asserted-by":"publisher","first-page":"409","DOI":"10.2307\/1968907","volume":"42","author":"JHC Whitehead","year":"1941","unstructured":"Whitehead, J.H.C.: On adding relations to homotopy groups. Ann. Math. 42(2), 409\u2013428 (1941)","journal-title":"Ann. Math."},{"issue":"4","key":"9635_CR19","doi-asserted-by":"publisher","first-page":"806","DOI":"10.2307\/1969237","volume":"47","author":"JHC Whitehead","year":"1946","unstructured":"Whitehead, J.H.C.: Note on a previous paper entitled \u201cOn adding relations to homotopy groups\u201d. Ann. Math. 47(4), 806\u2013810 (1946)","journal-title":"Ann. Math."}],"container-title":["Applied Categorical Structures"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10485-021-09635-z.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s10485-021-09635-z\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10485-021-09635-z.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,12,25]],"date-time":"2022-12-25T07:54:31Z","timestamp":1671954871000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s10485-021-09635-z"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,4,23]]},"references-count":19,"journal-issue":{"issue":"5","published-print":{"date-parts":[[2021,10]]}},"alternative-id":["9635"],"URL":"https:\/\/doi.org\/10.1007\/s10485-021-09635-z","relation":{},"ISSN":["0927-2852","1572-9095"],"issn-type":[{"value":"0927-2852","type":"print"},{"value":"1572-9095","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,4,23]]},"assertion":[{"value":"28 January 2019","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"10 February 2021","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"23 April 2021","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}