20.500.12556/DKUM-49939 A result concerning derivations in prime rings A classical result of Herstein asserts that any Jordan derivation on a prime ring of characteristic different from two is a derivation. It is our aim in this paper to prove the following result, which is in the spirit of Herstein's theorem. Let ▫$R$▫ be a prime ring with ▫$text{char}(R) = 0$▫ or ▫$4 < text{char}(R)$▫, and let ▫$D colon R to R$▫ be an additive mapping satisfying either the relation ▫$D(x^3) = D(x^2)x + x^2D(x)$▫ or the relation ▫$D(x^3) = D(x)x^2 + xD(x^2)$▫ for all ▫$x in R$▫. In both cases ▫$D$▫ is a derivation. prakolobar polprakolobar odvajanje jordansko odvajanje jordansko trojno odvajanje funkcijska identiteta prime ring semiprime ring derivation Jordan derivation Jordan triple derivation functional identity true false false Angleški jezik Angleški jezik Delo ni kategorizirano 2015-07-10 12:33:34 2015-07-10 12:33:34 2022-05-28 03:07:53 2019-07-10 21:40:22 2013 0 0 str. 67-79 no. 1 Vol. 48 2013 0000-00-00 NiDoloceno NiDoloceno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 512.552 1036559 512501053 10.3336/gm.48.1.06 0017-095X URN:SI:UM:DK:VBPCHOW3 http://web.math.pmf.unizg.hr/glasnik/vol_48/no1_06.html 1 https://dk.um.si/Dokument.php?lang=slv&id=74498 Fakulteta za logistiko 0 0 0