عنوان
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Lie triple centralizers on generalized matrix algebras
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نوع پژوهش
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مقاله چاپشده در مجلات علمی
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کلیدواژهها
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Lie centralizer, Lie triple centralizer, generalized Lie triple derivation, generalized matrix algebra
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چکیده
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In this article, we introduce the notion of Lie triple centralizer as follows. Let A be an algebra, and ϕ : A ! A be a linear mapping. We say that ϕ is a Lie triple centralizer whenever ϕ([[a; b]; c]) = [[ϕ(a); b]; c] for all a; b; c 2 A. Then we characterize the general form of Lie triple centralizers on a generalized matrix algebra U and under some mild conditions on U we present the necessary and sufficient conditions for a Lie triple centralizer to be proper. As an application of our results, we characterize generalized Lie triple derivations on generalized matrix algebras.
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پژوهشگران
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وو جینگ (نفر سوم)، هوگر قهرمانی (نفر دوم)، بهروز فدایی (نفر اول)
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