مشخصات پژوهش

عنوان	Characterizing Jordan Derivable Maps on Triangular Rings by Local Actions
نوع پژوهش	مقاله چاپ‌شده در مجلات علمی
کلیدواژه‌ها	Derivation, Jordan derivation, triangular algebra, nest algebra
چکیده	Suppose that T = Tri(A; M; B) is a 2-torsion free triangular ring, and S = (A; B) j AB = 0; A; B 2 T [ (A; X) j A 2 T ; X 2 fP; Qg ; where P is the standard idempotent of T and Q = I −P. Let δ : T ! T be a mapping (not necessarily additive) satisfying (A; B) 2 S ) δ(A ◦ B) = A ◦ δ(B) + δ(A) ◦ B; where A ◦ B = AB + BA is the Jordan product of T . We obtain various equivalent conditions for δ, specifically, we show that δ is an additive derivation. Our result generalizes various results in these directions for triangular rings. As an application, δ on nest algebras are determined
پژوهشگران	طاهره رضایی (نفر سوم)، محمد نادر قصیری (نفر دوم)، هوگر قهرمانی (نفر اول)