التفاصيل البيبلوغرافية
| العنوان: |
Centralizing identities involving generalized derivations in prime rings. |
| المؤلفون: |
De Filippis, Vincenzo, Gupta, Pallavee, Tiwari, Shailesh Kumar, Prajapati, Balchand |
| المصدر: |
Georgian Mathematical Journal; Aug2024, Vol. 31 Issue 4, p587-605, 19p |
| مستخلص: |
Let ℛ be a prime ring of characteristic not equal to 2, let 풰 be Utumi quotient ring of ℛ and let 풞 be the extended centroid of ℛ . Let Δ be a generalized derivation on ℛ , and let δ 1 and δ 2 be derivations on ℛ . Let p (v) be a multilinear polynomial on ℛ , which is non-central valued on ℛ . If δ 1 (Δ 2 (p (v)) p (v)) = δ 2 (Δ (p (v) 2)) for all v ∈ ℛ n , then we find the complete description of Δ, δ 1 and δ 2 . [ABSTRACT FROM AUTHOR] |
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| قاعدة البيانات: |
Complementary Index |
