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Centrally-extended generalized Jordan derivations in rings Cover

References

  1. Ali, Shakir, and Nadeem Ahmad Dar. “On *-centralizing mappings in rings with involution.” Georgian Math. J. 21, no. 1 (2014): 25-28. Cited on 34 and 35.
  2. Ashraf, Mohammad, Shakir Ali, and Claus Haetinger. “On derivations in rings and their applications.” Aligarh Bull. Math. 25, no. 2 (2006): 79-107. Cited on 34.
  3. Beidar, Konstantin Igorevich, Wallace Smith Martindale III, and Aleksandr Vasil’evich Mikhalev. Rings with Generalized Identities. Vol. 196 of Pure Appl. Math. New York: Marcel Dekker Inc., 1996. Cited on 35.
  4. Bell, Howard Edwin, and Mohamad Nagy Daif. “On centrally-extended maps on rings.” Beitr. Algebra Geom. 57, no. 1 (2016): 129-136. Cited on 34.
  5. Bhushan, Bharat, Gurninder Singh Sandhu, Shakir Ali, and Deepak Kumar. “On centrally extended Jordan derivations and related maps in rings.” Hacet. J. Math. Stat. 52, no. 1 (2023): 23-35. Cited on 34 and 35.
  6. Brešar, Matej. “Jordan derivations on semiprime rings.” Proc. Amer. Math. Soc. 104, no. 4 (1988): 1003-1006. Cited on 34.
  7. Brešar, Matej. “On the distance of the composition of two derivations to the generalized derivations.” Glasgow Math. J. 33, no. 1 (1991): 89-93. Cited on 34.
  8. Brešar, Matej. “Commuting traces of biadditive mappings, commutativitypreserving mappings and Lie mappings.” Trans. Amer. Math. Soc. 335, no. 2 (1993): 525-546. Cited on 35.
  9. Brešar, Matej. “Centralizing mappings and derivations in prime rings.” J. Algebra 156, no. 2 (1993): 385-394. Cited on 36.
  10. Macedo Ferreira, Bruno Leonardo, Ruth Nascimento Ferreira, and Henrique Guzzo. “Generalized Jordan derivations on semiprime rings.” J. Aust. Math. Soc. 109, no. 1 (2020): 36-43. Cited on 34.
  11. De Filippis, Vincenzo. “Generalized derivations and commutators with nilpotent values on Lie ideals.” Tamsui Oxf. J. Math. Sci. 22, no. 2 (2006): 167-175. Cited on 36.
  12. Herstein, Israel Nathan. “Jordan derivations of prime rings.” Proc. Amer. Math. Soc. 8 (1957): 1104-1110. Cited on 34.
  13. Jing, Wu, and Shi Jie Lu. “Generalized Jordan derivations on prime rings and standard operator algebras.” Taiwanese J. Math. 7, no. 4 (2003): 605-613. Cited on 34 and 36.
  14. Lee, Tsiu-Kwen. “Generalized derivations of left faithful rings.” Comm. Algebra 27, no. 8 (1999): 4057-4073. Cited on 36.
  15. Lee, Pjek Hwee, and Tsiu-Kwen Lee. “Derivations centralizing symmetric or skew elements.” Bull. Inst. Math. Acad. Sinica 14, no. 3 (1986): 249-256. Cited on 36.
  16. Martindale, Wallace Smith, III. “Prime rings with involution and generalized polynomial identities.” J. Algebra 22 (1972): 502-516. Cited on 33.
DOI: https://doi.org/10.2478/aupcsm-2023-0004 | Journal eISSN: 2300-133X | Journal ISSN: 2081-545X
Language: English
Page range: 33 - 47
Submitted on: Oct 16, 2022
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Accepted on: Mar 31, 2023
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Published on: Jul 3, 2023
In partnership with: Paradigm Publishing Services
Publication frequency: 1 issue per year

© 2023 Bharat Bhushan, Gurninder S. Sandhu, Deepak Kumar, published by Pedagogical University of Cracow
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