Generalized Derivations on Prime Near Rings

Asma Ali, Howard E. Bell and Phool Miyan

International Journal of Mathematics and Mathematical Sciences, 2013, vol. 2013, 1-5

Abstract:

Let be a near ring. An additive mapping is said to be a right generalized (resp., left generalized) derivation with associated derivation on if (resp., ) for all . A mapping is said to be a generalized derivation with associated derivation on if is both a right generalized and a left generalized derivation with associated derivation on . 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.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:170749

DOI: 10.1155/2013/170749

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