{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,11]],"date-time":"2025-09-11T19:52:37Z","timestamp":1757620357241,"version":"3.44.0"},"reference-count":16,"publisher":"Springer Science and Business Media LLC","issue":"4","license":[{"start":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T00:00:00Z","timestamp":1753833600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T00:00:00Z","timestamp":1753833600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Appl Categor Struct"],"published-print":{"date-parts":[[2025,8]]},"DOI":"10.1007\/s10485-025-09820-4","type":"journal-article","created":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T10:03:03Z","timestamp":1753869783000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["The Leibniz PROP is a Crossed Presimplicial Algebra"],"prefix":"10.1007","volume":"33","author":[{"given":"Murat Can","family":"A\u015fkaro\u011fullar\u0131","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Atabey","family":"Kaygun","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2025,7,30]]},"reference":[{"key":"9820_CR1","doi-asserted-by":"crossref","unstructured":"Adams, J.: Infinite Loop Spaces. Princeton University Press, Annals of Mathematics Studies (1978)","DOI":"10.1515\/9781400821259"},{"key":"9820_CR2","doi-asserted-by":"publisher","first-page":"643","DOI":"10.2307\/1969131","volume":"48","author":"E Artin","year":"1947","unstructured":"Artin, E.: Braids and permutations. Ann. Math. 48, 643\u2013649 (1947)","journal-title":"Ann. Math."},{"key":"9820_CR3","doi-asserted-by":"crossref","unstructured":"Beck, J.: Distributive laws, in Sem. on Triples and Categorical Homology Theory (ETH, Z\u00fcrich, 1966\/67), vol.\u00a0No. 80 of Lecture Notes in Math., Springer, Berlin-New York, (1969), pp.\u00a0119\u2013140","DOI":"10.1007\/BFb0083084"},{"key":"9820_CR4","doi-asserted-by":"crossref","unstructured":"Boardman, J., Vogt, R.: Homotopy Invariant Algebraic Structures on Topological Spaces, Lecture notes in mathematics (Berlin) no. 347, (1973)","DOI":"10.1007\/BFb0068547"},{"key":"9820_CR5","unstructured":"B\u00f3na, M.: ed., Handbook of enumerative combinatorics, Discrete Math. Appl. (Boca Raton), Boca Raton, FL: CRC Press, (2015)"},{"key":"9820_CR6","doi-asserted-by":"publisher","first-page":"1565","DOI":"10.1142\/S021819672050054X","volume":"30","author":"M Bremner","year":"2020","unstructured":"Bremner, M., Dotsenko, V.: Distributive laws between the operads Lie and Com. Int. J. Algebra Comput. 30, 1565\u20131576 (2020)","journal-title":"Int. J. Algebra Comput."},{"key":"9820_CR7","first-page":"1317","volume":"34","author":"M Bremner","year":"2019","unstructured":"Bremner, M., Markl, M.: Distributive laws between the three graces. Theory Appl. Categ. 34, 1317\u20131342 (2019)","journal-title":"Theory Appl. Categ."},{"key":"9820_CR8","unstructured":"Connes, A.: Cohomologie cyclique et foncteurs $$ Ext_n $$, C. R. Acad. Sci. Paris S\u00e9r. I Math. 296, 953\u2013958 (1983)"},{"key":"9820_CR9","doi-asserted-by":"publisher","first-page":"57","DOI":"10.1090\/S0002-9947-1991-0998125-4","volume":"326","author":"Z Fiedorowicz","year":"1991","unstructured":"Fiedorowicz, Z., Loday, J.-L.: Crossed simplicial groups and their associated homology. Trans. Am. Math. Soc. 326, 57\u201387 (1991)","journal-title":"Trans. Am. Math. Soc."},{"key":"9820_CR10","doi-asserted-by":"publisher","first-page":"41","DOI":"10.1023\/A:1008723801201","volume":"13","author":"A Frabetti","year":"2001","unstructured":"Frabetti, A.: Simplicial properties of the set of planar binary trees. J. Algebraic Comb 13, 41\u201365 (2001)","journal-title":"J. Algebraic Comb"},{"key":"9820_CR11","doi-asserted-by":"publisher","first-page":"303","DOI":"10.1070\/SM1975v027n03ABEH002516","volume":"27","author":"KN Inasaridze","year":"1977","unstructured":"Inasaridze, K.N.: Homotopy of pseudosimplicial groups, nonabelian derived functors, and algebraic K-theory. Math. USSR, Sb. 27, 303\u2013324 (1977)","journal-title":"Math. USSR, Sb."},{"key":"9820_CR12","unstructured":"Kaygun, A., Kaya, HC.: A Dold-Kan equivalence for crossed simplicial groups, 2024. https:\/\/arxiv.org\/abs\/2402.19291"},{"key":"9820_CR13","first-page":"147","volume":"13","author":"S Lack","year":"2004","unstructured":"Lack, S.: Composing PROPs. Theory Appl. Categ. 13, 147\u2013163 (2004)","journal-title":"Theory Appl. Categ."},{"key":"9820_CR14","unstructured":"Loday, JL.: Generalized bialgebras and triples of operads, vol.\u00a0320 of Ast\u00e9risque, Paris: Soci\u00e9t\u00e9 Math\u00e9matique de France, (2008)"},{"key":"9820_CR15","doi-asserted-by":"publisher","first-page":"139","DOI":"10.1007\/BF01445099","volume":"296","author":"J-L Loday","year":"1993","unstructured":"Loday, J.-L., Pirashvili, T.: Universal enveloping algebras of leibniz algebras and (co)homology. Mathematische Annalen 296, 139\u2013158 (1993)","journal-title":"Mathematische Annalen"},{"key":"9820_CR16","volume-title":"Algebraic operads. Grundlehren der mathematischen Wissenschaften","author":"J-L Loday","year":"2012","unstructured":"Loday, J.-L., Vallette, B.: Algebraic operads. Grundlehren der mathematischen Wissenschaften, vol. 346. Springer, Heidelberg (2012)"}],"container-title":["Applied Categorical Structures"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10485-025-09820-4.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s10485-025-09820-4\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10485-025-09820-4.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,9,8]],"date-time":"2025-09-08T07:37:06Z","timestamp":1757317026000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s10485-025-09820-4"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,7,30]]},"references-count":16,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2025,8]]}},"alternative-id":["9820"],"URL":"https:\/\/doi.org\/10.1007\/s10485-025-09820-4","relation":{},"ISSN":["0927-2852","1572-9095"],"issn-type":[{"type":"print","value":"0927-2852"},{"type":"electronic","value":"1572-9095"}],"subject":[],"published":{"date-parts":[[2025,7,30]]},"assertion":[{"value":"13 March 2025","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"17 June 2025","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"30 July 2025","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"Not applicable.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Funding"}}],"article-number":"29"}}