{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T01:28:35Z","timestamp":1760146115545,"version":"build-2065373602"},"reference-count":26,"publisher":"MDPI AG","issue":"10","license":[{"start":{"date-parts":[[2024,10,2]],"date-time":"2024-10-02T00:00:00Z","timestamp":1727827200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Guizhou Provincial Basic Research Program (Natural Science)","award":["ZK[2021]006","12161013","12271292","2023MA008"],"award-info":[{"award-number":["ZK[2021]006","12161013","12271292","2023MA008"]}]},{"name":"Natural Science Foundation of China","award":["ZK[2021]006","12161013","12271292","2023MA008"],"award-info":[{"award-number":["ZK[2021]006","12161013","12271292","2023MA008"]}]},{"name":"Natural Science Foundation of Shandong Province","award":["ZK[2021]006","12161013","12271292","2023MA008"],"award-info":[{"award-number":["ZK[2021]006","12161013","12271292","2023MA008"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>In this paper, we introduce two-term differential Leib\u221e-conformal algebras and give characterizations of some particular classes of such two-term differential Leib\u221e-conformal algebras. Furthermore, we discuss the classification of the non-Abelian extensions in terms of non-Abelian cohomology groups. Finally, we explore the inducibility of pairs of automorphisms and derive the analog Wells exact sequences under the circumstance of differential Leibniz conformal algebras.<\/jats:p>","DOI":"10.3390\/axioms13100685","type":"journal-article","created":{"date-parts":[[2024,10,2]],"date-time":"2024-10-02T06:27:31Z","timestamp":1727850451000},"page":"685","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Crossed Modules and Non-Abelian Extensions of Differential Leibniz Conformal Algebras"],"prefix":"10.3390","volume":"13","author":[{"given":"Hui","family":"Wu","sequence":"first","affiliation":[{"name":"School of Mathematical Sciences, Qufu Normal University, Qufu 273165, China"}]},{"given":"Shuangjian","family":"Guo","sequence":"additional","affiliation":[{"name":"School of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang 550025, China"}]},{"given":"Xiaohui","family":"Zhang","sequence":"additional","affiliation":[{"name":"School of Mathematical Sciences, Qufu Normal University, Qufu 273165, China"}]}],"member":"1968","published-online":{"date-parts":[[2024,10,2]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Kac, V. 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