Geodesic
Left Annihilator of Identities with Generalized Derivations in Prime and Semiprime Rings
Discussiones Mathematicae. General Algebra and Applications, Tome 41 (2021) no. 1, pp. 69-79

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Let R be a noncommutative prime ring of char (R) ≠ 2, F a generalized derivation of R associated to the derivation d of R and I a nonzero ideal of R. Let S ⊆ R. The left annihilator of S in R is denoted by lR(S) and defined by lR (S) = x ∈ R | xS = 0. In the present paper, we study the left annihilator of the sets F(x) ◦n F(y)−x ◦n y | x, y ∈ I and F(x) ◦n F(y)−d(x ◦n y) | x, y ∈ I.
Keywords: prime ring, derivation, generalized derivation, extended centroid, Utumi quotient ring 
Rahaman, Md Hamidur. Left Annihilator of Identities with Generalized Derivations in Prime and Semiprime Rings. Discussiones Mathematicae. General Algebra and Applications, Tome 41 (2021) no. 1, pp. 69-79. http://geodesic.mathdoc.fr/item/DMGAA_2021_41_1_a6/
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