A note on generalized Lie derivations of prime rings
| dc.contributor.author | Yarbil, Nihan Baydar | |
| dc.contributor.author | Argac, Nurcan | |
| dc.date.accessioned | 2019-10-27T11:11:16Z | |
| dc.date.available | 2019-10-27T11:11:16Z | |
| dc.date.issued | 2017 | |
| dc.department | Ege Üniversitesi | en_US |
| dc.description.abstract | Let R be a prime ring of characteristic not 2, A be an additive subgroup of R, and F, T, D, K: A-R be additive maps such that F([x, y]) = F(x) (y-y) K(x)-T(y) (x + x) D(y) for all x, y E A. Our aim is to deal with this functional identity when A is R itself or a noncentral Lie ideal of R. Eventually, we are able to describe the forms of the mappings F, T, D, and K in case A = R with deg(R) > 3 and also in the case A is a noncentral Lie ideal and deg(R) > 9. These enable us in return to characterize the forms of both generalized Lie derivations, D-Lie derivations and Lie centralizers of R under some mild assumptions. Finally, we give a generalization of Lie homomorphisms on Lie ideals. | en_US |
| dc.description.sponsorship | Ege University, Scientific Research Project (BAP)Ege University [2014FEN036] | en_US |
| dc.description.sponsorship | This work was supported by Ege University, Scientific Research Project (BAP) (No. 2014FEN036). | en_US |
| dc.identifier.doi | 10.1007/s11464-016-0589-9 | |
| dc.identifier.endpage | 260 | en_US |
| dc.identifier.issn | 1673-3452 | |
| dc.identifier.issn | 1673-3576 | |
| dc.identifier.issn | 1673-3452 | en_US |
| dc.identifier.issn | 1673-3576 | en_US |
| dc.identifier.issue | 1 | en_US |
| dc.identifier.scopusquality | Q3 | en_US |
| dc.identifier.startpage | 247 | en_US |
| dc.identifier.uri | https://doi.org/10.1007/s11464-016-0589-9 | |
| dc.identifier.uri | https://hdl.handle.net/11454/32477 | |
| dc.identifier.volume | 12 | en_US |
| dc.identifier.wos | WOS:000387566400017 | en_US |
| dc.identifier.wosquality | Q4 | en_US |
| dc.indekslendigikaynak | Web of Science | en_US |
| dc.indekslendigikaynak | Scopus | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | Higher Education Press | en_US |
| dc.relation.ispartof | Frontiers of Mathematics in China | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Prime ring | en_US |
| dc.subject | derivation | en_US |
| dc.subject | generalized derivation | en_US |
| dc.subject | generalized Lie derivation | en_US |
| dc.subject | functional identity | en_US |
| dc.subject | generalized polynomial identity | en_US |
| dc.title | A note on generalized Lie derivations of prime rings | en_US |
| dc.type | Article | en_US |
