Let $R$ be a prime ring and $Z(R)$ denotes the center of $R$. In this study, we expose the commutativity of $R$ as a consequence of specific differential identities involving derivations acting on left ideals of $R$. Finally, we give examples that demonstrate the necessity of hypotheses taken in the theorems.
Sandhu, G., & Boua, A. (2024). A note on generalized derivations and left ideals of prime rings. Journal of Algebra and Related Topics, 12(1), 89-103. doi: 10.22124/jart.2023.23820.1502
MLA
G. S. Sandhu; A. Boua. "A note on generalized derivations and left ideals of prime rings". Journal of Algebra and Related Topics, 12, 1, 2024, 89-103. doi: 10.22124/jart.2023.23820.1502
HARVARD
Sandhu, G., Boua, A. (2024). 'A note on generalized derivations and left ideals of prime rings', Journal of Algebra and Related Topics, 12(1), pp. 89-103. doi: 10.22124/jart.2023.23820.1502
VANCOUVER
Sandhu, G., Boua, A. A note on generalized derivations and left ideals of prime rings. Journal of Algebra and Related Topics, 2024; 12(1): 89-103. doi: 10.22124/jart.2023.23820.1502
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