SavedAdd your journal

Journals / International Electronic Journal of Algebra / 2021 / Cilt: 29 - Sayı: 29

CLASSIFICATION OF SOME SPECIAL GENERALIZED DERIVATIONS

M. A. IDRISSI
L. OUKHTITE
Pages
50–62
Publication Date
2021-01-05
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Some well-known results characterizing commutativity of prime rings by derivations have been generalized by using generalized derivation.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The purpose of the present paper is to classify generalized derivations satisfying more specific algebraic identities in a prime ring with involution of the second kind.
📊
Key Findings & Data:The purpose of the present paper is to classify generalized derivations satisfying more specific algebraic identities in a prime ring with involution of the second kind.
💡
Conclusion & Impact:Some well-known results characterizing commutativity of prime rings by derivations have been generalized by using generalized derivation.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Prime ring · involution · commutativity

Abstract

The purpose of the present paper is to classify generalized derivations satisfying more specific algebraic identities in a prime ring with involution of the second kind. Some well-known results characterizing commutativity of prime rings by derivations have been generalized by using generalized derivation.

🔖

Cite This Article

IDRISSI, M. A., OUKHTITE, L. (2021). CLASSIFICATION OF SOME SPECIAL GENERALIZED DERIVATIONS. International Electronic Journal of Algebra, Cilt: 29 - Sayı: 29, 50–62. https://ajindex.com/articles/832235

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (12)

  1. S. Ali and N. A. Dar, On *-centralizing mapping in rings with involution, Georgian Math. J., 21(1) (2014), 25-28.
  2. S. Ali, N. A. Dar and M. Asci, On derivations and commutativity of prime rings with involution, Georgian Math. J., 23(1) (2016), 9-14.
  3. M. Ashraf, N. Rehman, S. Ali and M. R. Mozumder, On semiprime rings with generalized derivations, Bol. Soc. Parana. Mat., (3), 28(2) (2010), 25-32.
  4. M. Bresar, Semiderivations of prime rings, Proc. Amer. Math. Soc., 108(4) (1990), 859-860.
  5. M. Bresar, On generalized biderivations and related maps, J. Algebra, 172(3) (1995), 764-786.
  6. V. De Filippis, N. Rehman and A. Ansari, Lie ideals and generalized deriva- tions in semiprime rings, Iran. J. Math. Sci. Inform., 10(2) (2015), 45-54.
  7. B. Hvala, Generalized derivations in rings, Comm. Algebra, 26 (1998), 1147- 1166. M. A. Idrissi and L. Oukhtite, Some commutativity theorems for rings with involution involving generalized derivations, Asian-Eur. J. Math., 12(1) (2019), 1950001 (11 pp). C. Lanski, Differential identities, Lie ideals and Posner's theorems, Pacific J. Math., 134(2) (1988), 275-297.
  8. M. R. Khan and M. M. Hasnain, On semiprime rings with generalized derivations, Kyungpook Math. J., 53(4) (2013), 565-571.
  9. T. K. Lee, Generalized derivations of left faithful rings, Comm. Algebra, 27 (1999), 4057-4073.
  10. B. Nejjar, A. Kacha, A. Mamouni and L. Oukhtite, Certain commutativity criteria for rings with involution involving generalized derivations, Georgian Math. J., 27(1) (2020), 133-139.
  11. L. Oukhtite and A. Mamouni, Generalized derivations centralizing on Jordan ideals of rings with involution, Turkish J. Math., 38(2) (2014), 225-232.
  12. E. C. Posner, Derivations in prime rings, Proc. Amer. Math. Soc., 8 (1957), 1093-1100.