20.500.12556/DKUM-89089 On certain functional equation in prime rings The purpose of this paper is to prove the following result. Let R be prime ring of characteristic different from two and three, and let F:R→R be an additive mapping satisfying the relation F(x3)=F(x2)x−xF(x)x+xF(x2) for all x∈R. In this case, F is of the form 4F(x)=D(x)+qx+xq for all x∈R, where D:R→R is a derivation, and q is some fixed element from the symmetric Martindale ring of quotients of R. prime ring derivation Jordan derivation functional equation algebra prakolobar odvajanje jordansko odvajanje funkcijska enačba algebra true false true De Gruyter Open Angleški jezik Slovenski jezik Znanstveno delo 2024-06-12 14:29:03 2024-06-12 15:25:06 2024-06-13 03:19:04 0000-00-00 00:00:00 2022 0 0 Str. 140-152 Št. 1 Letn. 20 2022 0000-00-00 Zaloznikova Objavljeno NiDoloceno 2021-10-07 2022-01-10 2022-04-04 512 104659203 10.1515/math-2022-0002 2391-5455 Fosner-2022-On_certain_functional_equation_in.pdf Fosner-2022-On_certain_functional_equation_in.pdf 1 988776665A2E016ECC878B9351F4C495 f777e3750fef31ecae7da39b4b11953224496cae93748f96f40850c169f7e358 e99806fe-28be-11ef-ae3f-00155d000105 https://dk.um.si/Dokument.php?lang=slv&id=180476 https://doi.org/10.1515/math-2022-0002 1 5bd75143-28b7-11ef-ae3f-00155d000105 https://dk.um.si/Dokument.php?lang=slv&id=180468 Fakulteta za logistiko Fakulteta za naravoslovje in matematiko 0 0 0