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Study of the structure of quotient rings satisfying algeraic identities | ||
| Journal of Algebra and Related Topics | ||
| دوره 11، شماره 2، اسفند 2023، صفحه 117-125 اصل مقاله (84.86 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22124/jart.2023.23527.1482 | ||
| نویسندگان | ||
| A. Boua* 1؛ M. El Hamdaoui2 | ||
| 1Department of Mathematics, Polydisciplinary Faculty, Taza Sidi Mohamed Ben Abdellah University, Fes Morocco | ||
| 2Department of Mathematics, Polydisciplinary Faculty, Taza Sidi Mohamed Ben Abdellah University, Fes, Morocco | ||
| چکیده | ||
| Assuming that $\mathcal{R}$ is an associative ring with prime ideal $P$, this paper investigates the commutativity of the quotient ring $\mathcal{R}/P$, as well as the possible forms of generalized derivations satisfying certain algebraic identities on $\mathcal{R}.$ We give results on strong commutativity, preserving generalized derivations of prime rings, using our theorems. Finally, an example is given to show that the restrictions on the ideal $P$ are not superfluous. | ||
| کلیدواژه‌ها | ||
| Generalized derivations؛ Prime ideals؛ Prime rings | ||
| مراجع | ||
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