Ore Extension Rings Satisfy the Weak PS-Rings
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Published:2021-01-31
Issue:1
Volume:14
Page:164-172
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ISSN:1307-5543
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Container-title:European Journal of Pure and Applied Mathematics
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language:
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Short-container-title:Eur. J. Pure Appl. Math.
Author:
Farahat MohamedORCID,
Al-Bogamy Salha
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.
Publisher
New York Business Global LLC
Subject
Applied Mathematics,Geometry and Topology,Numerical Analysis,Statistics and Probability,Algebra and Number Theory,Theoretical Computer Science