Generalized derivations of prime rings on multilinear polynomials with annihilator conditions
| dc.contributor.author | Argac, Nurcan | |
| dc.contributor.author | Demir, Cagri | |
| dc.date.accessioned | 2019-10-27T21:54:35Z | |
| dc.date.available | 2019-10-27T21:54:35Z | |
| dc.date.issued | 2013 | |
| dc.department | Ege Üniversitesi | en_US |
| dc.description.abstract | Let K be a commutative ring with unity, R be a prime K-algebra with characteristic not 2, U be the right Utumi quotient ring of R, C the extended centroid of R, I a nonzero right ideal of R and a a fixed element of R. Let g be a generalized derivation of R and f(X-1,..., X-n) a multilinear polynomial over K. If ag(f(x(1),...,x(n)))f(x(1),...,x(n)) = 0 for all x1,..., x(n) is an element of I, then one of the following holds: (1) aI = ag(I) --= 0; (2) g(x) = bx [c,x] for all x is an element of R, where b,c is an element of U. In this case either [c,I]I = 0 = abI or aI = 0 = a(b + c)I; (3) [f,(X-1,...,X-n),Xn+1]Xn+2 is an identity for I. | en_US |
| dc.identifier.doi | 10.3906/mat-1106-46 | |
| dc.identifier.endpage | 243 | en_US |
| dc.identifier.issn | 1300-0098 | |
| dc.identifier.issn | 1300-0098 | en_US |
| dc.identifier.issue | 2 | en_US |
| dc.identifier.scopusquality | Q2 | en_US |
| dc.identifier.startpage | 231 | en_US |
| dc.identifier.uri | https://doi.org/10.3906/mat-1106-46 | |
| dc.identifier.uri | https://hdl.handle.net/11454/48104 | |
| dc.identifier.volume | 37 | en_US |
| dc.identifier.wos | WOS:000321227100005 | en_US |
| dc.identifier.wosquality | Q4 | en_US |
| dc.indekslendigikaynak | Scopus | en_US |
| dc.indekslendigikaynak | Web of Science | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | Scientific Technical Research Council Turkey-Tubitak | en_US |
| dc.relation.ispartof | Turkish 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 | derivation | en_US |
| dc.subject | generalized derivation | en_US |
| dc.subject | right Utumi quotient ring | en_US |
| dc.subject | differential identity | en_US |
| dc.subject | generalized polynomial identity | en_US |
| dc.title | Generalized derivations of prime rings on multilinear polynomials with annihilator conditions | en_US |
| dc.type | Article | en_US |
