The Journal of the Indian Mathematical Society

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On Near-Rings with Derivation


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1 Department of Mathematics, Annamalai University, Annamalainagar 608 002, India
     

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Throughout this paper N will represent a zero-symmetric right near-ring, and A a non-zero ideal of N. Let d: x → x' be a derivation on N, i.e. an endomorphism of (N, +) satisfying the product rule

                      (xy)' = xy' + x'y for all x, y in N.


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  • On Near-Rings with Derivation

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Authors

P. Dheena
Department of Mathematics, Annamalai University, Annamalainagar 608 002, India
C. Rajeswari
Department of Mathematics, Annamalai University, Annamalainagar 608 002, India

Abstract


Throughout this paper N will represent a zero-symmetric right near-ring, and A a non-zero ideal of N. Let d: x → x' be a derivation on N, i.e. an endomorphism of (N, +) satisfying the product rule

                      (xy)' = xy' + x'y for all x, y in N.