A note on generalized (m,n)-Jordan centralizers

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Title:	A note on generalized (m,n)-Jordan centralizers
Authors:	ID Fošner, Ajda (Author)
Files:	http://demmath.mini.pw.edu.pl/archive/dm46_2/3.pdf
Language:	English
Work type:	Not categorized
Typology:	1.01 - Original Scientific Article
Organization:	IAM - Andrej Marušič Institute
Abstract:	The aim of this paper is to define generalized $(m, n)$ -Jordan centralizers and to prove that on a prime ring with nonzero center and ${\rm char}(R) \ne 6mn(m+n)(m+2n)$ every generalized $(m, n)$ -Jordan centralizer is a two-sided centralizer.
Keywords:	mathematics, prime ring, semiprime ring, left (right) centralizer, left (right) Jordan centralizer, (m, n)-Jordan centralizer, generalized (m, n)-Jordan centralizer
Year of publishing:	2013
Number of pages:	str. 257-262
Numbering:	Vol. 46, no. 2
PID:	20.500.12556/RUP-3589
ISSN:	0420-1213
UDC:	512.552.3
COBISS.SI-ID:	16644697
Publication date in RUP:	15.10.2013
Views:	5039
Downloads:	179
Metadata:
:	FOŠNER, Ajda, 2013, A note on generalized (m,n)-Jordan centralizers. [online]. 2013. Vol. 46, no. 2, p. 257–262. [Accessed 5 April 2025]. Retrieved from: http://demmath.mini.pw.edu.pl/archive/dm46_2/3.pdf Copy citation

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Language:	Slovenian
Abstract:	V članku je pokazano, da je vsak posplošeni $(m,n)$ -jordanski centralizator na prakolobarju z neničelnim centrom in karakteristiko različno od $6mn(m+n)(m+2n)$ dvostranski centralizator.
Keywords:	matematika, algebra, prakolobar, polprakolobar, levi (desni) centralizator, levi (desni) jordanski centralizator

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