Prime and semiprime rings with symmetric skew 3-derivations

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Title:	Prime and semiprime rings with symmetric skew 3-derivations
Authors:	ID Fošner, Ajda (Author)
Files:	http://dx.doi.org/10.1007/s00010-013-0208-8
Language:	English
Work type:	Not categorized
Typology:	1.01 - Original Scientific Article
Organization:	IAM - Andrej Marušič Institute
Abstract:	In this paper we introduce the notion of symmetric skew 3-derivations of prime or semiprime rings and prove that under certain conditions a prime ring with a nonzero symmetric skew 3-derivation has to be commutative.
Keywords:	algebra, prime ring, semiprime ring, symmetric skew 3-derivation, centralizing mapping, commuting mapping
Year of publishing:	2013
Number of pages:	10 str.
PID:	20.500.12556/RUP-4206
ISSN:	0001-9054
UDC:	512.552
COBISS.SI-ID:	16682841
Publication date in RUP:	15.10.2013
Views:	3852
Downloads:	138
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Language:	Slovenian
Abstract:	V članku so obravnavana simetrična ▫$\alpha$▫-odvajanja na pra in polprakolobarjih. Pokazano je, da je pod določenimi pogoji vsak prakolobar z neničelnim simetričnim ▫$\alpha$▫-odvajanjem komutativen.
Keywords:	algebra, prakolobarji, polprakolobarji, ▫$\alpha$▫-odvajanja, centralizirajoče preslikave, komutirajoče preslikave

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