id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejpam-3886	Farahat, Mohamed; Al-Bogamy, Salha	Ore Extension Rings Satisfy the Weak PS-Rings	2021	9	.pdf	application/pdf	4234	312	89	Given a module MR, an endomorphism α : R −→ R and an α- derivation δ : R −→ R. We say that MR is α-compatible if for each m ∈M and r ∈ R, we have mr = 0⇔ mα(r) = 0. Let R be a ring with identity 1 and α an endomorphism of R. Then a map δ : R −→ R is called an α-derivation of R if δ (a+ b) = δ (a) + δ (b) and δ (ab) = δ (a) b+ α (a) δ (b) , for all a, b ∈ R. We denote by A = R	cache/ejpam-3886.pdf	txt/ejpam-3886.txt