Title : ( JORDAN HIGHER DERIVATIONS ON TRIVIAL EXTENSION ALGEBRAS )
Authors: Hamid Reza Ebrahimi Vishki , Madjid Mirzavaziri , Fahimeh Moafian ,
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Abstract
We first give the constructions of (Jordan) higher derivations on a trivial extension algebra and then we provide some sufficient conditions under which a Jordan higher derivation on a trivial extension algebra is a higher derivation. We then proceed to the trivial generalized matrix algebras as a special trivial extension algebra. As an application we characterize the construction of Jordan higher derivations on a triangular algebra. We also provide some illuminating examples of Jordan higher derivation on certain trivial extension algebras which are not higher derivations.
Keywords
, Higher derivation, Jordan higher derivation, trivial extension algebra, generalized matrix algebra, triangular algebra.
@article{paperid:1053298,
author = {Ebrahimi Vishki, Hamid Reza and Madjid Mirzavaziri, and Moafian, Fahimeh},
title = {JORDAN HIGHER DERIVATIONS ON TRIVIAL EXTENSION ALGEBRAS},
journal = {Communication Korean Mathematical Society},
year = {2016},
volume = {31},
number = {2},
month = {April},
issn = {1225-1763},
pages = {247--259},
numpages = {12},
keywords = {Higher derivation; Jordan higher derivation; trivial extension algebra; generalized matrix
algebra; triangular algebra.},
}
%0 Journal Article
%T JORDAN HIGHER DERIVATIONS ON TRIVIAL EXTENSION ALGEBRAS
%A Ebrahimi Vishki, Hamid Reza
%A Madjid Mirzavaziri,
%A Moafian, Fahimeh
%J Communication Korean Mathematical Society
%@ 1225-1763
%D 2016
