مشخصات پژوهش

صفحه نخست /Lie triple centralizers on ...
عنوان Lie triple centralizers on generalized matrix algebras
نوع پژوهش مقاله چاپ‌شده در مجلات علمی
کلیدواژه‌ها Lie centralizer, Lie triple centralizer, generalized Lie triple derivation, generalized matrix algebra
چکیده 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.
پژوهشگران وو جینگ (نفر سوم)، هوگر قهرمانی (نفر دوم)، بهروز فدایی (نفر اول)