Ore Extension Rings Satisfy the Weak PS-Rings

Authors

  • Mohamed Farahat Department of Mathematics and Statistics, Faculty of Science, Taif University, Taif, KSA. https://orcid.org/0000-0003-4731-7139
  • Salha Al-Bogamy Department of Mathematics and Statistics, Faculty of Science, Taif University, Taif, KSA.

DOI:

https://doi.org/10.29020/nybg.ejpam.v14i1.3886

Keywords:

PS-ring, weak PS-ring, Ore extension

Abstract

The main result of this paper is that: If R is a weak right PS-ring, then A = R[x; α, δ], the Ore extension ring, is a weak right PS-ring whenever the following conditions hold on R is an (α, δ)-compatible NI-ring with nil(R) nilpotent, α(e) = e and δ(e) = 0 for every idempotent e ∈ R.

Author Biographies

  • Mohamed Farahat, Department of Mathematics and Statistics, Faculty of Science, Taif University, Taif, KSA.

    Department of Mathematics and Statistics, Faculty of Science, Taif University, Taif, KSA.

  • Salha Al-Bogamy, Department of Mathematics and Statistics, Faculty of Science, Taif University, Taif, KSA.

    Department of Mathematics and Statistics, Faculty of Science, Taif University, Taif, KSA.

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Published

2021-01-31

Issue

Section

Nonlinear Analysis

How to Cite

Ore Extension Rings Satisfy the Weak PS-Rings. (2021). European Journal of Pure and Applied Mathematics, 14(1), 164-172. https://doi.org/10.29020/nybg.ejpam.v14i1.3886