Annihilators and centralizers of generalized skew derivations on multilinear polynomials
| dc.contributor.author | Yarbil, Nihan Baydar | |
| dc.contributor.author | De Filippis, Vincenzo | |
| dc.contributor.author | Scudo, Giovanni | |
| dc.date.accessioned | 2019-10-27T10:03:03Z | |
| dc.date.available | 2019-10-27T10:03:03Z | |
| dc.date.issued | 2018 | |
| dc.department | Ege Üniversitesi | en_US |
| dc.description.abstract | Let R be a prime ring of characteristic different from 2, Q(r) its right Martindale quotient ring, C its extended centroid, a, b. R, f (x1,..., xn) a non-central multilinear polynomial over C with n non-commuting variables and G a non-zero generalized skew derivation of R. Assume a = 0, b /. C, S = {f (r1,..., rn) : r1,..., rn. R} and a[b, G(x) x] = 0, for all x. S. Then one of the following holds: (a) there exists c. Q(r) such that ac = abc = 0 and G(x) = cx, for any x. R; (b) f (x1,..., xn) 2 is central valued on R and there exists c. Q(r) su ch that a[b, c] = 0 and G(x) = cx, for any x is an element of R. | en_US |
| dc.identifier.doi | 10.1007/s13366-017-0372-4 | |
| dc.identifier.endpage | 595 | en_US |
| dc.identifier.issn | 0138-4821 | |
| dc.identifier.issn | 2191-0383 | |
| dc.identifier.issn | 0138-4821 | en_US |
| dc.identifier.issn | 2191-0383 | en_US |
| dc.identifier.issue | 3 | en_US |
| dc.identifier.scopusquality | Q3 | en_US |
| dc.identifier.startpage | 573 | en_US |
| dc.identifier.uri | https://doi.org/10.1007/s13366-017-0372-4 | |
| dc.identifier.uri | https://hdl.handle.net/11454/30065 | |
| dc.identifier.volume | 59 | en_US |
| dc.identifier.wos | WOS:000442082300010 | en_US |
| dc.identifier.wosquality | N/A | en_US |
| dc.indekslendigikaynak | Web of Science | en_US |
| dc.indekslendigikaynak | Scopus | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | Springer Heidelberg | en_US |
| dc.relation.ispartof | Beitrage Zur Algebra Und Geometrie-Contributions To Algebra and Geometry | 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 | Generalized skew derivation | en_US |
| dc.subject | Multilinear polynomial | en_US |
| dc.subject | Prime ring | en_US |
| dc.title | Annihilators and centralizers of generalized skew derivations on multilinear polynomials | en_US |
| dc.type | Article | en_US |
