Some Differential Identities for Rings Involving Prime Ideals

Authors

J. J. Jaraden, Department of Mathematics, Faculty of Science, Al-Hussein Bin Talal University, Ma’an - JordanFollow
B. N. Al-Hasanat, Department of Mathematics, Faculty of Science, Al-Hussein Bin Talal University, Ma’an - JordanFollow
L. Oukhtite, Department of Mathematics S. M. ben Abdellah University of Fez Faculty of Science and Technology, Fez, MoroccoFollow
I. A. Al-lawama, Department of Mathematics, Faculty of Science, Al-Hussein Bin Talal University, Ma’an - JordanFollow

Author Country (or Countries)

Jordan

Abstract

In many studies on ring structures, derivations are found to play a significant role in determining commutativity. In this paper we show the commutativity of a prime ring using certain identities on the generalized semi-derivation of such ring. The considered derivation maps will be either centralizing or commuting. We intend to propose such results as a new method to demonstrate prime ring commutativity.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/170203

Recommended Citation

J. Jaraden, J.; N. Al-Hasanat, B.; Oukhtite, L.; and A. Al-lawama, I. (2023) "Some Differential Identities for Rings Involving Prime Ideals," Applied Mathematics & Information Sciences: Vol. 17: Iss. 2, Article 3.
DOI: http://dx.doi.org/10.18576/amis/170203
Available at: https://digitalcommons.aaru.edu.jo/amis/vol17/iss2/3