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

mohd Shahoodh; Omar  Kareem Ali

doi:10.31185/wjcms.307

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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