Multiplicative Lie n-derivations of triangular rings

Dominik Benkovič (Author), Daniel Eremita (Author)

Abstract

V članku je vpeljan pojem multiplikativnega Liejevega ▫$n$▫-odvajanja, ki predstavlja posplošitev pojma Liejevega (trojnega) odvajanja. Članek obravnava vprašanje, kdaj imajo vsa multiplikativna Liejeva ▫$n$▫-odvajanja trikotnega kolobarja ▫$\mathcal{T}$▫ t.i. standardno obliko. Glavni rezultat se uporabi na klasičnih primerih trikotnih kolobarjev, kot so: gnezdne algebre in kolobarji (bločno) zgoraj trikotnih matrik.

Keywords

matematika;multiplikativno Liejevo n-odvajanje;Liejevo trojno odvajanje;Liejevo odvajanje;odvajanje;trikotni kolobar;gnezdna algebra;zgornje trikotni matrični kolobar;mathematics;multiplicative Lie n-derivation;nest algebra;Lie triple derivation;Lie derivation;derivation;triangular ring;upper triangular matrix ring;

Data

Language:	English
Year of publishing:	2012
Typology:	1.01 - Original Scientific Article
Organization:	UM FNM - Faculty of Natural Sciences and Mathematics
UDC:	512.552
COBISS:	16278361
ISSN:	0024-3795
Views:	28
Downloads:	17
Average score:	0 (0 votes)
Metadata:

Other data

Secondary language:	Slovenian
Secondary title:	Multiplikativna Liejeva n-odvajanja trikotnih kolobarjev
Secondary abstract:	We introduce the notion of a multiplicative Lie ▫$n$▫-derivation of a ring, generalizing the notion of a Lie (triple) derivation. The main goal of the paper is to consider the question of when do all multiplicative Lie ▫$n$▫-derivations of a triangular ring ▫$\mathcal{T}$▫ have the so-called standard form. The main result is applied to the classical examples of triangular rings: nest algebras and (block) upper triangular matrix rings.
Secondary keywords:	matematika;multiplikativno Liejevo n-odvajanje;Liejevo trojno odvajanje;Liejevo odvajanje;odvajanje;trikotni kolobar;gnezdna algebra;zgornje trikotni matrični kolobar;
URN:	URN:SI:UM:
Type (COBISS):	Not categorized
Pages:	str. 4223-4240
Volume:	Vol. 436
Issue:	iss 11
Chronology:	2012
ID:	1476533