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Title
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Additive maps related to Lie structure on factor von Neumann algebras
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Type
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JournalPaper
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Keywords
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Lie n-centralizer , Generalized Lie n-derivation , Factor von Neumann algebra
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Abstract
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In this paper, we characterize additive Lie n-centralizers on factor von Neumann algebras at zero product as well as at projection product and show that is in proper form. Based on this result, a complete characterization of additive Lie n-centralizer maps on factor von Neumann algebras is obtained. As an application of our results, we characterize generalized Lie n-derivations, which generalize some known results.
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Researchers
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Hoger Ghahramani (Second Researcher), Behrooz Fadaee (First Researcher)
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