Power-Central Values and Engel Conditions in Prime Rings with Generalized Skew Derivations
| dc.contributor.author | Argac, N. | |
| dc.contributor.author | De Filippis, V | |
| dc.date.accessioned | 2021-05-03T20:21:35Z | |
| dc.date.available | 2021-05-03T20:21:35Z | |
| dc.date.issued | 2021 | |
| dc.department | Ege Üniversitesi | en_US |
| dc.description.abstract | Let R be a prime ring of characteristic different from 2 with extended centroid C, n >= 1 a fixed positive integer, F, G : R -> R two non-zero generalized skew derivations of R. (I) If (F(x)x)(n) is an element of C for all x is an element of R, then the following hold: (a) if F is an inner generalized skew derivation, then either R subset of M-2(C) or R is commutative; (b) if F is not an inner generalized skew derivation, then R is commutative. (II) If [F(x)x, G(y)y](n) = 0 for all x, y is an element of R, then R is commutative unless when char(R) = p > 0, G is an inner generalized skew derivation and R subset of M-2(C). | en_US |
| dc.identifier.doi | 10.1007/s00009-021-01714-8 | |
| dc.identifier.issn | 1660-5446 | |
| dc.identifier.issn | 1660-5454 | |
| dc.identifier.issn | 1660-5446 | en_US |
| dc.identifier.issn | 1660-5454 | en_US |
| dc.identifier.issue | 3 | en_US |
| dc.identifier.scopus | 2-s2.0-85102785549 | en_US |
| dc.identifier.scopusquality | Q2 | en_US |
| dc.identifier.uri | https://doi.org/10.1007/s00009-021-01714-8 | |
| dc.identifier.uri | https://hdl.handle.net/11454/69384 | |
| dc.identifier.volume | 18 | en_US |
| dc.identifier.wos | WOS:000631644900005 | 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 | Springer Basel Ag | en_US |
| dc.relation.ispartof | Mediterranean Journal of Mathematics | 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 | generalized skew derivation | en_US |
| dc.subject | automorphism | en_US |
| dc.subject | right Martindale quotient ring | en_US |
| dc.title | Power-Central Values and Engel Conditions in Prime Rings with Generalized Skew Derivations | en_US |
| dc.type | Article | en_US |
