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On some equations in prime ringsFošner, Maja ; Vukman, JosoThe main purpose of this paper is to prove the following result. Let ▫$R$▫ be a prime ring of characteristic different from two and let ▫$T : R \to R$▫ be an additive mapping satisfying the relation ... ▫$T(x^3) = T(x)x^{2} - xT(x)x + x^{2} T(x)$▫ for all ▫$x \in R$▫. In this case ▫$T$▫ is of the form ▫$4T(x) = qx + xq$▫, where ▫$q$▫ is some fixed element from the symmetric Martindale ring of quotients. This result makes it possible to solve some functional equations in prime rings with involution which are related to bicircular projections.Source: Monatshefte für Mathematik. - ISSN 0026-9255 (Vol. 152, no. 2, 2007, str. 135-150)Type of material - article, component part ; adult, seriousPublish date - 2007Language - englishCOBISS.SI-ID - 15609352
Author
Fošner, Maja |
Vukman, Joso
Topics
matematika |
algebra |
prakolobar |
polprakolobar |
funkcijska identiteta |
odvajanje |
jordansko odvajanje |
involucija |
bicirkularni projektor |
mathematics |
algebra |
prime ring |
semiprime ring |
functional identity |
derivation |
Jordan derivation |
involution |
bicircular projection
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Fošner, Maja | 20272 |
Vukman, Joso | 04310 |
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