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Ali, Shakir, Khan, Mohammad, Ayedh, Mohammed, Varshney, Vaishali. (1402). A characterization of skew $b$-derivations in prime rings. , 12(2), 7-18. doi: 10.22103/jmmr.2022.19203.1223
Shakir Ali; Mohammad Salahuddin Khan; Mohammed Ayedh; Vaishali Varshney. "A characterization of skew $b$-derivations in prime rings". , 12, 2, 1402, 7-18. doi: 10.22103/jmmr.2022.19203.1223
Ali, Shakir, Khan, Mohammad, Ayedh, Mohammed, Varshney, Vaishali. (1402). 'A characterization of skew $b$-derivations in prime rings', , 12(2), pp. 7-18. doi: 10.22103/jmmr.2022.19203.1223
Ali, Shakir, Khan, Mohammad, Ayedh, Mohammed, Varshney, Vaishali. A characterization of skew $b$-derivations in prime rings. , 1402; 12(2): 7-18. doi: 10.22103/jmmr.2022.19203.1223

A characterization of skew $b$-derivations in prime rings

Journal of Mahani Mathematical Research
دوره 12، شماره 2 - شماره پیاپی 25، مرداد 2023، صفحه 7-18    اصل مقاله (452.25 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22103/jmmr.2022.19203.1223
نویسندگان
Shakir Ali* 1؛ Mohammad Salahuddin Khan2؛ Mohammed Ayedh1؛ Vaishali Varshney1
1Department of Mathematics, Faculty of Science, Aligarh Muslim University, Aligarh, India
2Department of Applied Mathematics, Z. H. College of Engineering & Technology Aligarh Muslim University, Aligarh, India
چکیده
Let $R$ be a prime ring, $\alpha$ an automorphism of $R$ and $b$ an element of $Q$, the maximal right ring of quotients of $R$. The main purpose of this paper is to characterize skew $b$-derivations in prime rings which satisfy various differential identities. Further, we provide an example to show that the assumed restrictions cannot be relaxed.
کلیدواژه‌ها
Automorphism؛ Derivation؛ Skew $b$-derivation؛ Skew derivation؛ Prime ring
مراجع
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