Generalized multiplicative derivations and commutativity of 3-prime near-rings

  • Mohammad AshrafEmail author
  • Mohammad Aslam Siddeeque


In the present paper, we investigate the commutativity of 3-prime near-rings satisfying certain conditions involving left generalized multiplicative derivations on semigroup ideals. Moreover, examples have been provided to justify the necessity of 3-primeness condition in the hypotheses of various results.


3-Prime near-ring Semigroup ideal Multiplicative derivation Left generalized multiplicative derivation and commutativity 

Mathematics Subject Classification

16W25 16Y30 



This research is partially supported by UGC-BSR research start-up-Grant no. F.30-310/2016(BSR). The authors are also indebted to the referee for his/her valuable suggestions and comments.


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Copyright information

© African Mathematical Union and Springer-Verlag GmbH Deutschland, ein Teil von Springer Nature 2019

Authors and Affiliations

  1. 1.Department of MathematicsAligarh Muslim UniversityAligarhIndia

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