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Generalized Derivations on Prime Near Rings

Author

Listed:
  • Asma Ali
  • Howard E. Bell
  • Phool Miyan

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.

Suggested Citation

  • Asma Ali & Howard E. Bell & Phool Miyan, 2013. "Generalized Derivations on Prime Near Rings," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2013, pages 1-5, February.
    • Handle: RePEc:hin:jijmms:170749
    DOI: 10.1155/2013/170749
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    References listed on IDEAS

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    1. Howard E. Bell, 2008. "On Prime Near-Rings with Generalized Derivation," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2008, pages 1-5, April.
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