Ore Extension Rings Satisfy the Weak PS-Rings

Ore Extension Rings Satisfy the Weak PS-Rings

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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Veröffentlicht in:European journal of pure and applied mathematics 2021-01, Vol.14 (1), p.164-172
Hauptverfasser: Farahat, Mohamed, Al-Bogamy, Salha
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:1307-5543
1307-5543
DOI:10.29020/nybg.ejpam.v14i1.3886