Generalized (theta, theta)- Semi-derivations of Prime Near-rings

Authors

  • mohd Shahoodh Ministry of Education, General Directorate of Education in Ramadi, Anbar, Iraq
  • Omar Kareem Ali Department of Applied Mathematics, College of Sciences, University of Anbar, Ramadi, Iraq

DOI:

https://doi.org/10.31185/wjcms.307

Keywords:

derivation, generalized derivation, , semiderivation,, near-ring

Abstract

The concept of differential algebra has been initiated before many years ago. This research topic has inspired a lot of authors to its study with different algebraic structures such as rings or semi-rings. Their studies provided many good results in this field some of which by extending from previous works and others by introducing new notion in this direction. In this article a type of rings are called prime near-rings have been considered. In particular, we introduced the idea of generalized (theta,theta)-semi-derivation of prime near-rings and studied the commutativity of such types of rings by using this notion. 

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References

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Published

2025-03-30

Issue

Section

Mathematics

How to Cite

[1]
mohd Shahoodh and O. . Kareem Ali, “Generalized (theta, theta)- Semi-derivations of Prime Near-rings”, WJCMS, vol. 4, no. 1, pp. 30–36, Mar. 2025, doi: 10.31185/wjcms.307.