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ADDITIVITY OF JORDAN TRIPLE PRODUCT HOMOMORPHISMS ON GENERALIZED MATRIX ALGEBRAS

Authors
Kim, Sang OgPark, Choonkil
Issue Date
Nov-2013
Publisher
KOREAN MATHEMATICAL SOC
Keywords
Jordan triple product homomorphism; generalized matrix algebra; additive map
Citation
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, v.50, no.6, pp.2027 - 2034
Indexed
SCIE
SCOPUS
KCI
Journal Title
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY
Volume
50
Number
6
Start Page
2027
End Page
2034
URI
https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/161584
DOI
10.4134/BKMS.2013.50.6.2027
ISSN
1015-8634
Abstract
In this article, it is proved that under some conditions every bijective Jordan triple product homomorphism from generalized matrix algebras onto rings is additive. As a corollary, we obtain that every bijective Jordan triple product homomorphism from Mn(A) (A is not necessarily a prime algebra) onto an arbitrary ring R' is additive.
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