{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T01:46:40Z","timestamp":1760147200579,"version":"build-2065373602"},"reference-count":35,"publisher":"MDPI AG","issue":"1","license":[{"start":{"date-parts":[[2023,1,14]],"date-time":"2023-01-14T00:00:00Z","timestamp":1673654400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Princess Nourah bint Abdulrahman University","award":["PNURSP2022R231"],"award-info":[{"award-number":["PNURSP2022R231"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>Let A be a non-commutative prime ring with involution \u2217, of characteristic \u22602(and3), with Z as the center of A and \u03a0 a mapping \u03a0:A\u2192A such that [\u03a0(x),x]\u2208Z for all (skew) symmetric elements x\u2208A. If \u03a0 is a non-zero CE-Jordan derivation of A, then A satisfies s4, the standard polynomial of degree 4. If \u03a0 is a non-zero CE-Jordan \u2217-derivation of A, then A satisfies s4 or \u03a0(y)=\u03bb(y\u2212y*) for all y\u2208A, and some \u03bb\u2208C, the extended centroid of A. Furthermore, we give an example to demonstrate the importance of the restrictions put on the assumptions of our results.<\/jats:p>","DOI":"10.3390\/axioms12010086","type":"journal-article","created":{"date-parts":[[2023,1,16]],"date-time":"2023-01-16T04:57:19Z","timestamp":1673845039000},"page":"86","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Centrally Extended Jordan (\u2217)-Derivations Centralizing Symmetric or Skew Elements"],"prefix":"10.3390","volume":"12","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"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0253-6573","authenticated-orcid":false,"given":"Hafedh M.","family":"Alnoghashi","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3955-7941","authenticated-orcid":false,"given":"Nadeem ur","family":"Rehman","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India"}]}],"member":"1968","published-online":{"date-parts":[[2023,1,14]]},"reference":[{"key":"ref_1","unstructured":"Beidar, K.I., Martindale, W.S., and Mikhalev, A.V. (1996). Rings with Generalized Identities, Marcel Dekker. Monographs and Textbooks in Pure and Applied Mathematics."},{"key":"ref_2","first-page":"79","article-title":"On derivations in rings and their applications","volume":"25","author":"Ashraf","year":"2006","journal-title":"Aligarh Bull. 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