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A note on generalized derivations and left ideals of prime rings | ||
| Journal of Algebra and Related Topics | ||
| دوره 12، شماره 1، مهر 2024، صفحه 89-103 اصل مقاله (268.3 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22124/jart.2023.23820.1502 | ||
| نویسندگان | ||
| G. S. Sandhu* 1؛ A. Boua2 | ||
| 1Department of Mathematics, Patel Memorial National College, Rajpura, India | ||
| 2Department of Mathematics, Physics and Computer Science, Sidi Mohammed Ben Abdellah University, Taza, Morocco | ||
| چکیده | ||
| 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. | ||
| کلیدواژه‌ها | ||
| Prime ring؛ left ideal؛ derivation؛ generalized derivation | ||
| مراجع | ||
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