20.500.12556/DKUM-66195 On some equations related to derivations in rings Let ▫$m$▫ and ▫$n$▫ be positive integers with ▫$m+n?0$▫, and let ▫$R$▫ be an ▫$(m+n+2)!$▫-torsion free semiprime ring with identity element. suppose there exists an additive mapping ▫$D:R? R$▫, such that ▫$D (x m+n+1)=(m+n+1)xmD (x)xn$▫ is fulfilled for all ▫$x?R$▫, then ▫$D$▫ is a derivation which maps $▫R$▫ into its center. mathematics algebra associative rings and algebras derivations prime rings semiprime rings matematika algebra asociativni kolobarji in algebre odvajanja kolobarji polprakolobarji true true true Angleški jezik Slovenski jezik Članek v reviji 2017-06-14 12:13:25 2017-06-14 12:14:11 2024-08-08 13:12:39 2021-05-16 03:19:35 2005 0 0 str. 2703-2710 št. 17 Letn. 2005 2005 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 0161-1712 512.552 25648128 14298632 10.1155/IJMMS.2005.2703 0161-1712 URN:SI:UM:DK:JHDCOB8F International_Journal_of_Mathematics_and_Mathematical_Sciences_2005_Vukman,_Kosi-Ulbl_On_some_equations_related_to_derivations_in_rings.pdf International_Journal_of_Mathematics_and_Mathematical_Sciences_2005_Vukman,_Kosi-Ulbl_On_some_equations_related_to_derivations_in_rings.pdf 1 FF1D145DE7002C4F22B8863B164F5D24 1d73d7cc058bfc53fcf772fbb33fc49d7c4fd7797271159553ac9b17a3067120 3e3ca564-7c0e-11eb-bb7a-00155d0001ca https://dk.um.si/Dokument.php?lang=slv&id=112523 http://www.hindawi.com/journals/ijmms/2005/161546/abs/ 1 https://dk.um.si/Dokument.php?lang=slv&id=112522 Pedagoška fakulteta 0 0 0