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Title:
Jordan homomorphisms on triangular matrices
Authors:
ID
Benkovič, Dominik
(
Author
)
Files:
http://www.tandf.co.uk/journals/online/0308-1087.asp
Language:
English
Work type:
Article
Typology:
1.01 - Original Scientific Article
Organization:
PEF - Faculty of Education
Abstract:
Let ▫${mathcal{T}}_n(mathcal{C})$▫ be the algebra of all ▫$n times n$▫ upper triangular matrices over a commutative unital ring ▫$mathcal{C}$▫. We describe the structure of Jordan homomorphisms from ▫${mathcal{T}}_n(mathcal{C})$▫ into an arbitrary algebra over ▫$mathcal{C}$▫. As an application a new proof of our recent result on Jordan derivations on ▫${mathcal{T}}_n(mathcal{C})$▫ is obtained.
Keywords:
matematika
,
algebra zgornje trikotnih matrik
,
jordanski homomorfizem
,
jordansko odvajanje
,
mathematics
,
triangular matrix algebra
,
Jordan homomorphism
,
Jordan derivation
Year of publishing:
2005
Number of pages:
str. 345-356
Numbering:
Vol. 53, no. 5
PID:
20.500.12556/DKUM-51503
UDC:
512.5/.6
ISSN on article:
0308-1087
COBISS.SI-ID:
13704281
NUK URN:
URN:SI:UM:DK:3WRO8RDF
Publication date in DKUM:
10.07.2015
Views:
1469
Downloads:
120
Metadata:
Categories:
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Record is a part of a journal
Title:
Linear and Multilinear Algebra
Shortened title:
Linear multilinear algebra
Publisher:
Taylor & Francis
COBISS.SI-ID:
25872128
Secondary language
Language:
Slovenian
Title:
Jordanski homomorfizmi na trikotnih matrikah
Abstract:
Naj bo ▫${mathcal{T}}_{n}left( mathcal{C} right)$▫ algebra vseh ▫$n times n$▫ zgornje trikotnih matrik nad komutativnim kolobarjem ▫$mathcal{C}$▫ z enoto. V članku je opisna struktura jordanskih homomorfizmov, ki slikajo iz algebre ▫${mathcal{T}}_{n} left( mathcal{C} right)$▫ v poljubno algebro nad kolobarjem ▫$mathcal{C}$▫. Kot aplikacija je predstavljen nov dokaz rezultata, da je vsako jordansko odvajanje iz algebre ▫${mathcal{T}}_{n} left( mathcal{C} right)$▫ v ▫${mathcal{T}}_{n} left( mathcal{C} right)$▫-bimodul vsota odvajanja in antiodvajanja.
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