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On generalized σ,τ-n-derivations in prime near-rings

  • Mohammad Ashraf EMAIL logo and Mohammad Aslam Siddeeque

Abstract

In the present paper, we introduce the notion of generalized (σ,τ)-n-derivations in a near-ring N and investigate a property involving generalized (σ,τ)-n-derivations of a prime near-ring N, which makes N a commutative ring. Additive commutativity of a prime near-ring N satisfying certain identities involving generalized (σ,τ)-n-derivations is also obtained.

MSC 2010: 16W25; 16Y30

Acknowledgements

The authors are thankful to the referee for his/her valuable suggestions.

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Received: 2014-9-9
Accepted: 2015-1-9
Published Online: 2017-1-11
Published in Print: 2018-3-1

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