A NOTE ON CERTAIN CENTRAL DIFFERENTIAL IDENTITIES WITH GENERALIZED DERIVATIONS
| dc.contributor.author | Argac, Nurcan | |
| dc.contributor.author | De Filippis, Vincenzo | |
| dc.date.accessioned | 2019-10-27T21:55:58Z | |
| dc.date.available | 2019-10-27T21:55:58Z | |
| dc.date.issued | 2012 | |
| dc.department | Ege Üniversitesi | en_US |
| dc.description.abstract | Let R be a noncommutatiye prime ring of characteristic different from 2 with right Utumi quotient ring U and extended centroid C, I a nonzero right ideal of R. Let f(x(1), . . ., x(n)) be a non-central multilinear polynomial over C, m >= 1 a fixed integer, a a fixed element of R, G a non-zero generalized derivation of R. If aG(f(r(1), . . ., r(n)))(m) is an element of Z(R) for all r(1), . . ., r(n) is an element of I, then one of the following holds: (1) aI = aG(I) = (0); (2) G(x) = qx, for some q is an element of U and aqI = 0; (3) [f (x(1), . . ., x(n)), x(n+1)]x(n+2) is an identity for I; (4) G(x) = cx + [q, x] for all x is an element of R, where c, q is an element of U such that cI = 0 and [q, I]I = 0; (5) dim(C)(RC) <= 4; (6) G(x) = alpha x, for some alpha is an element of C; moreover alpha is an element of C and f (x(1), . . ., x(n))(m) l is central valued on R. | en_US |
| dc.identifier.endpage | 852 | en_US |
| dc.identifier.issn | 1303-5010 | |
| dc.identifier.issn | 1303-5010 | en_US |
| dc.identifier.issue | 6 | en_US |
| dc.identifier.startpage | 847 | en_US |
| dc.identifier.uri | https://hdl.handle.net/11454/48297 | |
| dc.identifier.volume | 41 | en_US |
| dc.identifier.wos | WOS:000315845000007 | en_US |
| dc.identifier.wosquality | Q3 | en_US |
| dc.indekslendigikaynak | Web of Science | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | Hacettepe Univ, Fac Sci | en_US |
| dc.relation.ispartof | Hacettepe Journal of Mathematics and Statistics | 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 rings | en_US |
| dc.subject | Differential identities | en_US |
| dc.subject | Generalized derivations | en_US |
| dc.title | A NOTE ON CERTAIN CENTRAL DIFFERENTIAL IDENTITIES WITH GENERALIZED DERIVATIONS | en_US |
| dc.type | Article | en_US |
