On the structure of Jordan *-derivations
Matej Brešar, Borut Zalar (1992)
Colloquium Mathematicae
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Matej Brešar, Borut Zalar (1992)
Colloquium Mathematicae
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Jiankui Li, Jiren Zhou (2010)
Czechoslovak Mathematical Journal
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We investigate a new type of generalized derivations associated with Hochschild 2-cocycles which was introduced by A. Nakajima. We show that every generalized Jordan derivation of this type from CSL algebras or von Neumann algebras into themselves is a generalized derivation under some reasonable conditions. We also study generalized derivable mappings at zero point associated with Hochschild 2-cocycles on CSL algebras.
Abbas Najati (2010)
Czechoslovak Mathematical Journal
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Under some conditions we prove that every generalized Jordan triple derivation on a Lie triple system is a generalized derivation. Specially, we conclude that every Jordan triple -derivation on a Lie triple system is a -derivation.
Driss, Aiat Hadj Ahmed, Ben Yakoub, L'Moufadal (2005)
International Journal of Mathematics and Mathematical Sciences
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Xu, Xiao Wei, Zhang, Hong Ying (2010)
ELA. The Electronic Journal of Linear Algebra [electronic only]
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Feng Wei, Zhankui Xiao (2009)
Rendiconti del Seminario Matematico della Università di Padova
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Peter Šemrl (1990)
Colloquium Mathematicae
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Kim, Hark-Mahn, Kang, Sheon-Young, Chang, Ick-Soon (2008)
Journal of Inequalities and Applications [electronic only]
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Fangyan Lu (2009)
Studia Mathematica
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We show that every Jordan isomorphism between CSL algebras is the sum of an isomorphism and an anti-isomorphism. Also we show that each Jordan derivation of a CSL algebra is a derivation.
Qimei Xiao, Wenjun Liu (2016)
Open Mathematics
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A quantale is a complete lattice equipped with an associative binary multiplication distributing over arbitrary joins. We define the notions of right (left, two) sided derivation and idempotent derivation and investigate the properties of them. It’s well known that quantic nucleus and quantic conucleus play important roles in a quantale. In this paper, the relationships between derivation and quantic nucleus (conucleus) are studied via introducing the concept of pre-derivation. ...
Dilian Yang (2005)
Colloquium Mathematicae
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Motivated by Problem 2 in [2], Jordan *-derivation pairs and n-Jordan *-mappings are studied. From the results on these mappings, an affirmative answer to Problem 2 in [2] is given when E = F in (1) or when 𝓐 is unital. For the general case, we prove that every Jordan *-derivation pair is automatically real-linear. Furthermore, a characterization of a non-normal prime *-ring under some mild assumptions and a representation theorem for quasi-quadratic functionals are provided. ...