On [(m, n)]-Jordan derivations and commutativity of prime rings

Vukman, Joso

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Title:	On [(m, n)]-Jordan derivations and commutativity of prime rings
Authors:	ID Vukman, Joso (Author)
Files:	Demonstratio_mathematica_2008_Vukman_On_(m,_n)-Jordan_derivations_and_commutativity_of_prime_rings.pdf (87,88 KB) MD5: B30D61ED64710293C1369DF20857F3D3 http://demmath.mini.pw.edu.pl/archive/dm41_3/5.pdf
Language:	English
Work type:	Scientific work
Typology:	1.01 - Original Scientific Article
Organization:	FNM - Faculty of Natural Sciences and Mathematics
Abstract:	The purpose of this paper is to prove the following result. Let $m\geq\ge 1$ , $n \geq\ge 1$ be some fixed integers with $m \ne n$ , and let R be a prime ring with $char (R) \ne 2mn (m+n) l, \vert m-n l, \vert$ . Suppose there exists a nonzero additive mapping $D : R \to R$ satisfying the relation $(m + n)D(x^2) = 2mD(x)x + 2nxD(x)$ for all $x \in R ((m,n)-Jordan derivation)$ . If either $char(R) = 0$ or $char(R) \geq 3$ then D is a derivation and R is commutative.
Keywords:	prime rings, derivation, Jordan derivation, commutativity
Publication status:	Published
Publication version:	Version of Record
Year of publishing:	2008
Number of pages:	str. 773-778
Numbering:	Letn. 41, št. 4
PID:	20.500.12556/DKUM-65329
ISSN:	0420-1213
UDC:	517.2
ISSN on article:	0420-1213
COBISS.SI-ID:	16481032
NUK URN:	URN:SI:UM:DK:ITL1XC4A
Publication date in DKUM:	31.03.2017
Views:	1258
Downloads:	556
Metadata:
Categories:	Misc.
:	VUKMAN, Joso, 2008, On [(m, n)]-Jordan derivations and commutativity of prime rings. Demonstratio Mathematica [online]. 2008. Vol. 41, no. 4, p. 773–778. [Accessed 8 April 2025]. Retrieved from: https://dk.um.si/IzpisGradiva.php?lang=eng&id=65329 Copy citation

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Record is a part of a journal

Title:	Demonstratio Mathematica
Shortened title:	Demonstr. Math.
Publisher:	De Gruyter Open
ISSN:	0420-1213
COBISS.SI-ID:	14069256

Licences

License:	CC BY-NC-ND 4.0, Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International

Link:	http://creativecommons.org/licenses/by-nc-nd/4.0/
Description:	The most restrictive Creative Commons license. This only allows people to download and share the work for no commercial gain and for no other purposes.
Licensing start date:	31.03.2017

Secondary language

Language:	Slovenian
Keywords:	matematika, odvodi, kolobarji, jordanska odvajanja

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