| Title: | On [(m, n)]-Jordan derivations and commutativity of prime rings |
|---|
| Authors: | ID Vukman, Joso (Author) |
|---|
| Files: |  Demonstratio_mathematica_2008_Vukman_On_(m,_n)-Jordan_derivations_and_commutativity_of_prime_rings.pdf (87,88 KB)
MD5: B30D61ED64710293C1369DF20857F3D3
 http://demmath.mini.pw.edu.pl/archive/dm41_3/5.pdf
|
|---|
| Language: | English |
|---|
| Work type: | Scientific work |
|---|
| Typology: | 1.01 - Original Scientific Article |
|---|
| Organization: | FNM - Faculty of Natural Sciences and Mathematics
|
|---|
| Abstract: | The purpose of this paper is to prove the following result. Let ▫$ m\geq\ge 1$▫, ▫$n \geq\ge 1$▫ be some fixed integers with ▫$m \ne n$▫, and let R be a prime ring with ▫$char (R) \ne 2mn (m+n) l, \vert m-n l, \vert$▫. Suppose there exists a nonzero additive mapping ▫$D : R \to R$▫ satisfying the relation ▫$(m + n)D(x^2) = 2mD(x)x + 2nxD(x)$▫ for all ▫$x \in R ((m,n)-Jordan derivation)$▫. If either ▫$char(R) = 0$▫ or ▫$char(R) \geq 3$▫ then D is a derivation and R is commutative. |
|---|
| Keywords: | prime rings, derivation, Jordan derivation, commutativity |
|---|
| Publication status: | Published |
|---|
| Publication version: | Version of Record |
|---|
| Submitted for review: | 29.01.2008 |
|---|
| Article acceptance date: | 19.03.2008 |
|---|
| Publisher: | Warsaw University of Technology |
|---|
| Year of publishing: | 2008 |
|---|
| Number of pages: | 5 str. |
|---|
| Numbering: | Letn. 41, št. 4 |
|---|
| PID: | 20.500.12556/DKUM-65329  |
|---|
| ISSN: | 0420-1213 |
|---|
| UDC: | 517.2 |
|---|
| ISSN on article: | 0420-1213 |
|---|
| COBISS.SI-ID: | 16481032 |
|---|
| NUK URN: | URN:SI:UM:DK:ITL1XC4A |
|---|
| Publication date in DKUM: | 31.03.2017 |
|---|
| Views: | 1423 |
|---|
| Downloads: | 674 |
|---|
| Metadata: |    |
|---|
| Categories: | Misc.
|
|---|
|
:
|
Copy citation |
|---|
| | | | Average score: | (0 votes) |
|---|
| Your score: | Voting is allowed only for logged in users. |
|---|
| Share: |  |
|---|
Hover the mouse pointer over a document title to show the abstract or click
on the title to get all document metadata. |
