Ore Extension Rings Satisfy the Weak PS-Rings
DOI:
https://doi.org/10.29020/nybg.ejpam.v14i1.3886Keywords:
PS-ring, weak PS-ring, Ore extensionAbstract
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.
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Published
2021-01-31
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Nonlinear Analysis
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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