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A note on generalized derivations on prime ideals | ||
Journal of Algebra and Related Topics | ||
دوره 10، شماره 1، شهریور 2022، صفحه 159-169 اصل مقاله (239.11 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22124/jart.2021.20131.1291 | ||
نویسندگان | ||
N. Rehman* 1؛ H. M. Alnoghashi1؛ M. Hongan2 | ||
1Department of Mathematics Aligarh Muslim University Aligarh, India | ||
2Department of Mathematics, Seki 772, Maniwa, Okayama, Japan. | ||
چکیده | ||
This paper investigates the structure of the quotient ring $\mathscr{R}/ \mathscr{P}$, where $\mathscr{R}$ is an arbitrary ring and $\mathscr{P}$ is a prime ideal of $\mathscr{R}$ . We show that the structure of this class of rings has a relationship with the behaviour of generalized derivations satisfying algebraic identities involving prime ideals. | ||
کلیدواژهها | ||
Prime ideal؛ Generalized derivations؛ integral domain | ||
آمار تعداد مشاهده مقاله: 595 تعداد دریافت فایل اصل مقاله: 533 |