CENTRALIZERS OF GENERALIZED SKEW DERIVATIONS ON MULTILINEAR POLYNOMIALS
| dc.contributor.author | Albas, E. | |
| dc.contributor.author | Argac, N. | |
| dc.contributor.author | De Filippis, V. | |
| dc.date.accessioned | 2019-10-27T11:22:40Z | |
| dc.date.available | 2019-10-27T11:22:40Z | |
| dc.date.issued | 2017 | |
| dc.department | Ege Üniversitesi | en_US |
| dc.description.abstract | Let R be a prime ring of characteristic different from 2, let Q be the right Martindale quotient ring of R, and let C be the extended centroid of R. Suppose that G is a nonzero generalized skew derivation of R and f(x (1),..., x (n) ) is a noncentral multilinear polynomial over C with n noncommuting variables. Let f(R) = {f(r (1),..., r (n) ): r (i) is an element of R} be the set of all evaluations of f(x (1),..., x (n) ) in R, while A = {[G (f(r (1),..., r (n) )), f(r (1),..., r (n) )]: r (i) is an element of R}, and let C (R) (A) be the centralizer of A in R; i.e., C (R) (A) = {a is an element of R: [a, x] = 0, for all (x) is an element of A }. We prove that if A not equal (0), then C (R) (A) = Z(R). | en_US |
| dc.identifier.doi | 10.1134/S0037446617010013 | |
| dc.identifier.endpage | 10 | en_US |
| dc.identifier.issn | 0037-4466 | |
| dc.identifier.issn | 1573-9260 | |
| dc.identifier.issn | 0037-4466 | en_US |
| dc.identifier.issn | 1573-9260 | en_US |
| dc.identifier.issue | 1 | en_US |
| dc.identifier.startpage | 1 | en_US |
| dc.identifier.uri | https://doi.org/10.1134/S0037446617010013 | |
| dc.identifier.uri | https://hdl.handle.net/11454/33067 | |
| dc.identifier.volume | 58 | en_US |
| dc.identifier.wos | WOS:000396065100001 | en_US |
| dc.identifier.wosquality | Q3 | en_US |
| dc.indekslendigikaynak | Web of Science | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | Maik Nauka/Interperiodica/Springer | en_US |
| dc.relation.ispartof | Siberian Mathematical Journal | 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 | polynomial identity | en_US |
| dc.subject | generalized skew derivation | en_US |
| dc.subject | prime ring | en_US |
| dc.title | CENTRALIZERS OF GENERALIZED SKEW DERIVATIONS ON MULTILINEAR POLYNOMIALS | en_US |
| dc.type | Article | en_US |
