id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
cana-5404	Ahmed Aboubakr, Nawal M. NourEldeen	SCP Identities of Multiplicative (Generalized)-Derivations on One-Sided Ideals in Semiprime Rings	2025	8	.pdf	application/pdf	3497	178	75	= 0, ∀𝜈, 𝜔 ∈ 𝐿, this gives 𝐿[𝜉(𝜈), 𝜈]ℬ𝐿[𝜉(𝜈), 𝜈] = 0, ∀𝜈 ∈ 𝐿. Given that ℬ is semiprime, it follows that 𝐿[𝜉(𝜈), 𝜈] = 0, ∀𝜈 ∈ 𝐿. Since Γ(𝜈2) = Γ(𝜈)𝜈 + 𝜈𝜉(𝜈) 𝜉(𝜈)𝜈 ∀ 𝜈 ∈ 𝐿, this gives [Γ(𝜈), 𝜈] = [𝜉(𝜈), 𝜈], thus 𝐿[Γ(𝜈), 𝜈] = 𝐿[𝜉(𝜈), 𝜈] = 0, ∀𝜈 ∈ 𝐿. The case [𝜉(𝜈), Γ(𝜔)] = −[𝜈, 𝜔], ∀𝜈, 𝜔 ∈ 𝐿 is similar.	cache/cana-5404.pdf	txt/cana-5404.txt