Structure of Prime Near Rings with Generalized Derivations satisfying some Identities

Authors

  • Phool Miyan Department of Mathematics, College of Natural and Computational Sciences, Haramaya University, P.O.Box 138, Dire Dawa, Ethiopia
  • Arbo Nigusie Department of Mathematics, College of Natural and Computational Sciences, Oda Bultum University, P.O.Box 226, Chiro, Ethiopia
  • Leta Hailu Department of Mathematics, College of Natural and Computational Sciences, Arsi University,P.O. Box 193, Assela, Ethiopia
  • Temam Kesim Department of Mathematics, College of Natural and Computational Sciences, Jigjiga University, P.O. Box 1020, Jigjiga, Ethiopia

Keywords:

prime near ring, derivation, generalized derivation.

Abstract

The purpose of the present paper is to obtain the commutativity of a prime near with a generalized derivation    associated with a nonzero derivation     satisfying oneof the conditions: , (ii) , (iii) , (iv)  and (v)  for all ∈ and, , the set of nonnegative integers.Moreover, we give an example which shows the necessity of primness hypothesis in the theorems.

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Published

2024-06-25

How to Cite

Phool Miyan, Arbo Nigusie, Leta Hailu, & Temam Kesim. (2024). Structure of Prime Near Rings with Generalized Derivations satisfying some Identities. Journal of Computational Analysis and Applications (JoCAAA), 33(06), 420–426. Retrieved from https://eudoxuspress.com/index.php/pub/article/view/798

Issue

Vol. 33 No. 06 (2024): JOCAAA

Section

Articles

License

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.