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Commutativity of prime rings involving multiplicative b-generalized derivation | ||
| Journal of Algebra and Related Topics | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 13 بهمن 1403 | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22124/jart.2025.26837.1635 | ||
| نویسندگان | ||
| W. Ahmed* 1؛ M. R. Mozumder2؛ A. Abbasi3؛ H. M. Alnoghashi4 | ||
| 1Department of Mathematics, Aligarh Muslim University | ||
| 2Aligarh Muslim University | ||
| 3School of Advanced Science and Languages, VIT Bhopal University, Madhya Pradesh, India | ||
| 4Department of Mathematics Amran University, Yemen | ||
| چکیده | ||
| Let Qmr be a maximal right ring of quotients of A, where A is a prime ring. A map F : A → Qmr ssociated with derivation d : A → A is called a multiplicative b-generalized derivation (need not necessarily additive) if F(lm) = F(l)m + bld(m) holds for all l,m ∈ A and for some b ∈ Qmr. In this article, we study the commutativity of prime rings when the map b-generalized derivation satisfies the strong commutativity preserving condition and some central identities. | ||
| کلیدواژه‌ها | ||
| Derivation؛ Prime ring؛ multiplicative generalized derivation؛ multiplicative b-generalized derivation | ||
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آمار تعداد مشاهده مقاله: 86 |
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