Ore Extension Rings Satisfy the Weak PS-Rings

Mohamed Farahat, Salha Al-Bogamy

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.

Keywords

PS-ring, weak PS-ring, Ore extension

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