{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,11]],"date-time":"2026-02-11T21:15:55Z","timestamp":1770844555262,"version":"3.50.1"},"reference-count":20,"publisher":"MDPI AG","issue":"8","license":[{"start":{"date-parts":[[2023,7,30]],"date-time":"2023-07-30T00:00:00Z","timestamp":1690675200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100004242","name":"Princess Nourah bint Abdulrahman","doi-asserted-by":"publisher","award":["PNURSP2023R231"],"award-info":[{"award-number":["PNURSP2023R231"]}],"id":[{"id":"10.13039\/501100004242","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>Let A be a prime *-algebra. A product defined as U\u2022V=UV\u2217+VU\u2217 for any U,V\u2208A, is called a bi-skew Jordan product. A map \u03be:A\u2192A, defined as \u03bepnU1,U2,\u22ef,Un=\u2211k=1npnU1,U2,...,Uk\u22121,\u03be(Uk),Uk+1,\u22ef,Un for all U1,U2,...,Un\u2208A, is called a non-linear bi-skew Jordan n-derivation. In this article, it is shown that \u03be is an additive \u2217-derivation.<\/jats:p>","DOI":"10.3390\/axioms12080753","type":"journal-article","created":{"date-parts":[[2023,7,31]],"date-time":"2023-07-31T03:30:02Z","timestamp":1690774202000},"page":"753","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Characterization of Non-Linear Bi-Skew Jordan n-Derivations on Prime \u2217-Algebras"],"prefix":"10.3390","volume":"12","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-7602-0268","authenticated-orcid":false,"given":"Asma","family":"Ali","sequence":"first","affiliation":[{"name":"Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7856-2861","authenticated-orcid":false,"given":"Amal S.","family":"Alali","sequence":"additional","affiliation":[{"name":"Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2516-0612","authenticated-orcid":false,"given":"Mohd","family":"Tasleem","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India"}]}],"member":"1968","published-online":{"date-parts":[[2023,7,30]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"229","DOI":"10.1016\/0024-3795(94)00143-X","article-title":"A condition for a subspace of B(H) to be an ideal","volume":"235","author":"Molnar","year":"1996","journal-title":"Linear Algebra Appl."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"447","DOI":"10.1090\/S0002-9939-97-03594-6","article-title":"Local Jordan \u2217-derivations of standard operator algebras","volume":"125","author":"Molnar","year":"1997","journal-title":"Proc. Amer. Math. Soc."},{"key":"ref_3","first-page":"515","article-title":"Jordan \u2217-derivations of standard operator algebras","volume":"120","year":"1994","journal-title":"Proc. Amer. Math. Soc."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"5073","DOI":"10.1080\/00927872.2021.1937636","article-title":"\u2217-Jordan-type maps on C\u2217-algebras","volume":"49","author":"Ferreira","year":"2021","journal-title":"Comm. Algebra"},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"426","DOI":"10.1080\/03081087.2015.1043855","article-title":"Nonlinear \u2217-Jordan derivations on von Neumann algebras","volume":"64","author":"Taghavi","year":"2016","journal-title":"Linear Multilinear Algebra"},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"163","DOI":"10.1515\/ms-2017-0089","article-title":"Nonlinear \u2217-Jordan triple derivations on von Neumann algebras","volume":"68","author":"Zhao","year":"2018","journal-title":"Math. Slovaca"},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"53","DOI":"10.4064\/cm132-1-5","article-title":"Nonlinear Lie-type derivations of von Neumann algebras and related topics","volume":"132","author":"Wei","year":"2013","journal-title":"Colloq. Math."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"1155","DOI":"10.1080\/03081087.2011.652109","article-title":"Nonlinear Lie triple derivations of triangular algebras","volume":"60","author":"Ji","year":"2012","journal-title":"Linear Multilinear Algebra"},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"1037","DOI":"10.2989\/16073606.2016.1247119","article-title":"Nonlinear \u2217-Lie derivations of standard operator algebras","volume":"39","author":"Jing","year":"2016","journal-title":"Quaest. Math."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"163","DOI":"10.1216\/rmj.2020.50.163","article-title":"Lie-type derivations of finitary incidence algebras","volume":"50","author":"Khrypchenko","year":"2020","journal-title":"Rocky Mt. J. Math."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"821","DOI":"10.1007\/s10114-016-5690-1","article-title":"Nonlinear skew Lie triple derivations between factors","volume":"32","author":"Li","year":"2016","journal-title":"Acta Math. Sin. (Engl. Ser.)"},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"112","DOI":"10.1007\/s10474-018-0803-1","article-title":"Nonlinear \u2217-Lie-type derivations on von Neumann algebras","volume":"156","author":"Lin","year":"2018","journal-title":"Acta Math. Hungar."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"480","DOI":"10.1007\/s10474-017-0783-6","article-title":"Nonlinear \u2217-Lie-type derivations on standard operator algebras","volume":"154","author":"Lin","year":"2018","journal-title":"Acta Math. Hungar."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"57","DOI":"10.1090\/S0002-9939-1978-0487480-9","article-title":"Lie triple derivations of von Neumann algebras","volume":"71","author":"Mires","year":"1978","journal-title":"Proc. Amer. Math. Soc."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"2953","DOI":"10.1016\/j.laa.2009.12.042","article-title":"Nonlinear Lie derivations of triangular algebras","volume":"432","author":"Yu","year":"2010","journal-title":"Linear Algebra Appl."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"1979","DOI":"10.1016\/j.laa.2012.05.032","article-title":"Nonlinear \u2217-Lie derivations on factor von Neumann algebras","volume":"437","author":"Yu","year":"2012","journal-title":"Linear Algebra Appl."},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"543","DOI":"10.1216\/rmj.2020.50.543","article-title":"Nonlinear \u2217-Jordan triple derivation on prime \u2217-algebras","volume":"50","author":"Darvish","year":"2020","journal-title":"Rocky Mt. J. Math."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"2705","DOI":"10.1216\/RMJ-2018-48-8-2705","article-title":"Non-linear \u03bb-Jordan triple \u2217-derivation on prime \u2217-algebras","volume":"48","author":"Taghavi","year":"2018","journal-title":"Rocky Mt. J. Math."},{"key":"ref_19","unstructured":"Kong, L., and Li, C. (2022). Nonlinear bi-skew Jordan derivation on prime \u2217-algebras. Bull. Iranian Math. Soc., preprint."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"389","DOI":"10.1515\/gmj-2023-2005","article-title":"Multiplicative bi-skew Jordan triple derivations on prime \u2217-algebra","volume":"30","author":"Khan","year":"2023","journal-title":"Georgian Math. J."}],"container-title":["Axioms"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2075-1680\/12\/8\/753\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T20:22:38Z","timestamp":1760127758000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2075-1680\/12\/8\/753"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,7,30]]},"references-count":20,"journal-issue":{"issue":"8","published-online":{"date-parts":[[2023,8]]}},"alternative-id":["axioms12080753"],"URL":"https:\/\/doi.org\/10.3390\/axioms12080753","relation":{},"ISSN":["2075-1680"],"issn-type":[{"value":"2075-1680","type":"electronic"}],"subject":[],"published":{"date-parts":[[2023,7,30]]}}}