GENERALIZED JORDAN DERIVATIONS ON SEMIPRIME RINGS

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Generalized Jordan Triple Higher ∗−Derivations on Semiprime Rings

Let R be an associative ring not necessarily with identity element. For any x, y ∈ R. Recall that R is prime if xRy = 0 implies x = 0 or y = 0, and is semiprime if xRx = 0 implies x = 0. Given an integer n ≥ 2, R is said to be n−torsion free if for x ∈ R, nx = 0 implies x = 0.An additive mapping d : R → R is called a derivation if d(xy) = d(x)y + yd(x) holds for all x, y ∈ R, and it is called a...

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On Generalized Derivations of Semiprime Rings

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ژورنال

عنوان ژورنال: Journal of the Australian Mathematical Society

سال: 2019

ISSN: 1446-7887,1446-8107

DOI: 10.1017/s1446788719000259