An Engel condition with generalized skew derivations on multilinear polynomials
| dc.contributor.author | Albas, E. | |
| dc.contributor.author | Argac, N. | |
| dc.contributor.author | De Filippis, V. | |
| dc.contributor.author | Demir, C. | |
| dc.date.accessioned | 2019-10-27T10:45:24Z | |
| dc.date.available | 2019-10-27T10:45:24Z | |
| dc.date.issued | 2018 | |
| dc.department | Ege Üniversitesi | en_US |
| dc.description.abstract | Let R be a prime ring of characteristic different from 2 with right Martindale quotient ring Q and extended centroid C. Let further k = 1 be a fixed integer, f (x1,..., xn) a multilinear polynomial over C which is not central-valued on R. If F : R. R is a nonzero generalized skew derivation of R such that [ F(f (r1,..., rn)), f (r1,..., rn)] k = 0 for all r1,..., rn. R, then either there exists.. C such that F(x) =.x for all x. R, or one of the following holds: (a) char(R) = p > 0 and f (x1,..., xn) ps is central-valued on R for a suitable s = 0; (b) there exist a, b. Q with a -b. C such that F(x) = ax + xb for all x. R, and f (x1,..., xn) 2 is central-valued on R. | en_US |
| dc.identifier.doi | 10.1080/03081087.2017.1377677 | |
| dc.identifier.endpage | 1938 | en_US |
| dc.identifier.issn | 0308-1087 | |
| dc.identifier.issn | 1563-5139 | |
| dc.identifier.issn | 0308-1087 | en_US |
| dc.identifier.issn | 1563-5139 | en_US |
| dc.identifier.issue | 10 | en_US |
| dc.identifier.scopusquality | N/A | en_US |
| dc.identifier.startpage | 1925 | en_US |
| dc.identifier.uri | https://doi.org/10.1080/03081087.2017.1377677 | |
| dc.identifier.uri | https://hdl.handle.net/11454/31141 | |
| dc.identifier.volume | 66 | en_US |
| dc.identifier.wos | WOS:000441056500001 | en_US |
| dc.identifier.wosquality | Q2 | en_US |
| dc.indekslendigikaynak | Web of Science | en_US |
| dc.indekslendigikaynak | Scopus | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | Taylor & Francis Ltd | en_US |
| dc.relation.ispartof | Linear & Multilinear Algebra | 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 | authomorphism | en_US |
| dc.subject | prime ring | en_US |
| dc.title | An Engel condition with generalized skew derivations on multilinear polynomials | en_US |
| dc.type | Article | en_US |
