Prime Rings with Generalized Derivations on Right Ideals
| dc.contributor.author | Demir, C. | |
| dc.contributor.author | Argac, N. | |
| dc.date.accessioned | 2019-10-27T21:35:19Z | |
| dc.date.available | 2019-10-27T21:35:19Z | |
| dc.date.issued | 2011 | |
| dc.department | Ege Üniversitesi | en_US |
| dc.description.abstract | Let K be a commutative ring with unit, R be a prime K-algebra with center Z(R), right Utumi quotient ring U and extended centroid C, and I a nonzero right ideal of R. Let g be a nonzero generalized derivation of R and f(X(1), ... , X(n)) a multilinear polynomial over K. If g(f(x(1,) ... , x(n) ))f(x(1), ... , x(n)) is an element of C for all x(1), ... , x(n) is an element of I, then either f(x1, ... , ) x(n) (+ 1) is an identity for I, or char(R) = 2 and R satisfies the standard identity s(4)(x(1), ... , x(4)), unless when g(x) = ax [x, b] for suitable a, b is an element of U and one of the following holds: (i) a, b is an element of C and f, x)2 is central valued on R; (ii) a is an element of C and f(x(1), ... , x(n)) is central valued on R; (iii) aI = 0 and [f(x(1) , ... , x(n)), x(n + 1)]x(n +) (2) is an identity for I; (iv) aI = 0 and (b - beta)I = 0 for some beta is an element of C. | en_US |
| dc.identifier.doi | 10.1142/S1005386711000861 | |
| dc.identifier.endpage | 998 | en_US |
| dc.identifier.issn | 1005-3867 | |
| dc.identifier.issn | 1005-3867 | en_US |
| dc.identifier.startpage | 987 | en_US |
| dc.identifier.uri | https://doi.org/10.1142/S1005386711000861 | |
| dc.identifier.uri | https://hdl.handle.net/11454/45833 | |
| dc.identifier.volume | 18 | en_US |
| dc.identifier.wos | WOS:000297061400028 | en_US |
| dc.identifier.wosquality | Q4 | en_US |
| dc.indekslendigikaynak | Web of Science | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | World Scientific Publ Co Pte Ltd | en_US |
| dc.relation.ispartof | Algebra Colloquium | 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) 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 | Prime Rings with Generalized Derivations on Right Ideals | en_US |
| dc.type | Article | en_US |
