20.500.12556/DKUM-66194 On dependent elements in rings Let R be an associative ring. An element ▫$a\in R$▫ is said to be dependent on a mapping ▫$F:R\to R$▫ in case ▫$F(x)a=ax$▫ holds for all ▫$x\in R$▫. In this paper, elements dependent on certain mappings on prime and semiprime rings are investigated. We prove, for example, that in case we have a semiprime ring R, there are no nonzero elements which are dependent on the mapping ▫$\alpha + \beta$▫, where an ▫$\alpha$▫ and ▫$\beta$▫ are automorphisms of R mathematics algebra rings algebras derivation Jordan derivation left centralizer right centralizer additive mapping dependent elements matematika algebra kolobarji odvajanje jordansko odvajanje levi centralizator desni centralizator aditivna preslikava odvisni elementi true true true Angleški jezik Slovenski jezik Članek v reviji 2017-06-14 12:08:40 2017-06-14 12:10:02 2024-08-08 13:15:38 2021-05-16 03:19:33 2004 0 0 str. 2895-2906 št. 54 Letn. 2004 2004 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 0161-1712 512.552 25648128 13796360 10.1155/S0161171204311221 0161-1712 URN:SI:UM:DK:OQQZ33RZ International_Journal_of_Mathematics_and_Mathematical_Sciences_2004_Vukman,_Kosi-Ulbl_On_dependent_elements_in_rings.pdf International_Journal_of_Mathematics_and_Mathematical_Sciences_2004_Vukman,_Kosi-Ulbl_On_dependent_elements_in_rings.pdf 1 D40AF828E91A3AAEE9E2DC23919C306B b6ea01ab5f5a8edaadd631cee3dc999c26666005960ef2139e482c1be406315a 3e2e8af2-7c0e-11eb-bb7a-00155d0001ca https://dk.um.si/Dokument.php?lang=slv&id=112521 http://www.hindawi.com/journals/ijmms/2004/548684/abs/ 1 https://dk.um.si/Dokument.php?lang=slv&id=112520 Pedagoška fakulteta 0 0 0