naa a22 4500 510736963 CHVBK 20180411083013.0 cr unu---uuuuu 180411e20131001xx s 000 0 eng 10.1007/s13366-012-0117-3 doi (NATIONALLICENCE)springer-10.1007/s13366-012-0117-3 Jordan left *-centralizers of prime and semiprime rings with involution [Elektronische Daten] [Shakir Ali, Nadeem Dar, Joso Vukman] Let R be a ring with involution ′*′. An additive mapping T : R → R is called a left *-centralizer (resp. Jordan left *-centralizer) if T(xy)=T(x)y* (resp. T(x 2)=T(x)x*) holds for all $${x,y \in R}$$ , and a reverse left *-centralizer if T(xy)=T(y)x* holds for all $${x,y\in R}$$ . In the present paper, it is shown that every Jordan left *-centralizer on a semiprime ring with involution, of characteristic different from two is a reverse left *-centralizer. This result makes it possible to solve some functional equations in prime and semiprime rings with involution. Moreover, some more related results have also been discussed. The Managing Editors, 2012 Prime ring nationallicence Semiprime ring nationallicence Involution nationallicence Left *-centralizer nationallicence Reverse left *-centralizer nationallicence Reverse *-centralizer nationallicence Jordan left *-centralizer nationallicence Ali Shakir Department of Mathematics, Aligarh Muslim University, 202002, Aligarh, India aut Dar Nadeem Department of Mathematics, Aligarh Muslim University, 202002, Aligarh, India aut Vukman Joso Department of Mathematics and Computer Science, University of Maribor FNM, Koroska 160, 2000, Maribor, Slovenia aut Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry Springer Berlin Heidelberg 54/2(2013-10-01), 609-624 0138-4821 54:2<609 2013 54 13366 https://doi.org/10.1007/s13366-012-0117-3 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s13366-012-0117-3 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Ali Shakir Department of Mathematics, Aligarh Muslim University, 202002, Aligarh, India aut NATIONALLICENCE 700 1- Dar Nadeem Department of Mathematics, Aligarh Muslim University, 202002, Aligarh, India aut NATIONALLICENCE 700 1- Vukman Joso Department of Mathematics and Computer Science, University of Maribor FNM, Koroska 160, 2000, Maribor, Slovenia aut NATIONALLICENCE 773 0- Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry Springer Berlin Heidelberg 54/2(2013-10-01), 609-624 0138-4821 54:2<609 2013 54 13366 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer