Generalized Derivations on Prime Near Rings
نویسندگان
چکیده
Let N be a near ring. An additive mapping f : N → N is said to be a right generalized (resp., left generalized) derivation with associated derivation d onN if f(xy) = f(x)y + xd(y) (resp., f(xy) = d(x)y + xf(y)) for all x, y ∈ N. A mapping f : N → N is said to be a generalized derivation with associated derivation d onN iff is both a right generalized and a left generalized derivation with associated derivation d onN. The purpose of the present paper is to prove some theorems in the setting of a semigroup ideal of a 3-prime near ring admitting a generalized derivation, thereby extending some known results on derivations.
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ورودعنوان ژورنال:
- Int. J. Math. Mathematical Sciences
دوره 2013 شماره
صفحات -
تاریخ انتشار 2013