Two-sided $Gamma$-$alpha$-derivations in prime and semiprime $Gamma$-near-rings

Two-sided $\Gamma$-$\alpha$-derivations in prime and semiprime $\Gamma$-near-rings

Commun. Korean Math. Soc. 2008 Vol. 23, No. 4, 469-477
Printed December 1, 2008

Mustafa Kazaz and Ak{\sc i}n Alkan
University of Celal Bayar

Abstract : We introduce the notion of two-sided $\Gamma$-$\alpha$-derivation of a $\Gamma$-near-ring and give some generalizations of [1, 2].

Keywords : $\Gamma$-near-ring, prime $\Gamma$-near-ring, semiprime $\Gamma$-near-ring, two-sided $\Gamma$-$\alpha$-derivation

MSC numbers : 16Y30, 16W25, 16U80

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