{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,2]],"date-time":"2026-04-02T18:47:12Z","timestamp":1775155632757,"version":"3.50.1"},"reference-count":19,"publisher":"MDPI AG","issue":"12","license":[{"start":{"date-parts":[[2025,11,28]],"date-time":"2025-11-28T00:00:00Z","timestamp":1764288000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Princess Nourah bint Abdulrahman University (PNU), Riyadh, Saudi Arabia","award":["PNURSP2025R231"],"award-info":[{"award-number":["PNURSP2025R231"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>Let A be a unital \u2217-algebra over the complex fields C. In this article, it is proved that a nonlinear mixed bi-skew Jordan n-derivation is an additive \u2217-derivation under certain conditions. As applications, the main result is applied to some special classes of \u2217-algebras such as prime \u2217-algebra, standard operator algebra, factor von Neumann algebra and von Neumann algebra with no central summands of type I1.<\/jats:p>","DOI":"10.3390\/axioms14120874","type":"journal-article","created":{"date-parts":[[2025,11,28]],"date-time":"2025-11-28T12:14:16Z","timestamp":1764332056000},"page":"874","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Nonlinear Mixed Jordan-Type Derivations on \u2217-Algebra"],"prefix":"10.3390","volume":"14","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-7856-2861","authenticated-orcid":false,"given":"Amal S.","family":"Alali","sequence":"first","affiliation":[{"name":"Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia"}]},{"given":"Md Arshad","family":"Madni","sequence":"additional","affiliation":[{"name":"Department of Mathematics, School of Science, Sandip University, Nashik 422213, Maharashtra, India"}]},{"given":"Muzibur Rahman","family":"Mozumder","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Aligarh Muslim University, Aligarh 202002, Uttar Pradesh, India"}]}],"member":"1968","published-online":{"date-parts":[[2025,11,28]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"4766","DOI":"10.1080\/00927872.2022.2074027","article-title":"Nonlinear bi-skew Lie-type derivations on factor von Neumann algebras","volume":"50","author":"Ashraf","year":"2022","journal-title":"Comm. 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