Maja Fošner (Author), Joso Vukman (Author)

Abstract

In this paper we investigate identities with two generalized derivations in prime rings. We prove, for example, the following result. Let ▫$R$▫ be a prime ring of characteristic different from two and let ▫$F_1, F_2 \colon R \to R$▫ be generalized derivations satisfying the relation ▫$F_1(x)F_2(x) + F_2(x)F_1(x) = 0$▫ for all ▫$x \in R$▫. In this case either ▫$F_1 = 0$▫ or ▫$F_2 = 0$▫.

Keywords

matematika;prakolobar;polprakolobar;odvajanje;posplošeno odvajanje;mathematics;prime ring;semiprime ring;derivation;generalized derivation;

Data

Language: English
Year of publishing:
Typology: 1.01 - Original Scientific Article
Organization: UM FNM - Faculty of Natural Sciences and Mathematics
UDC: 512.552.3
COBISS: 19104776 Link will open in a new window
ISSN: 1660-5446
Views: 337
Downloads: 27
Average score: 0 (0 votes)
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Other data

Secondary language: English
Secondary title: Identitete s posplošenimi odvajanji v prakolobarjih
URN: URN:SI:UM:
Type (COBISS): Not categorized
Pages: str. 847-863
Volume: Vol. 9
Issue: no. 4
Chronology: 2012
ID: 1477041