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On k-semi-centralizing maps of generalized matrix algebras Cover

On k-semi-centralizing maps of generalized matrix algebras

By: Mohammad Ashraf,  Mohit Kumar,  Aisha Jabeen and  Musheer Ahmad  
Open Access
|Dec 2023

References

  1. M. Ashraf and A. Jabeen, Additivity of Jordan higher derivable maps on alternative rings, Palest. J. Math. 7 (2018), no. Special Issue I, 50–72.
  2. K. I. Beidar, On functional identities and commuting additive mappings, Comm. Algebra 26 (1998), 1819–1850.
  3. H. E. Bell and J. Lucier, On additive maps and commutativity in rings, Results Math. 36 (1999), 1–8.
  4. C. Boboc, S. Dascalescu, and L. van Wyk, Isomorphisms between Morita context rings, Linear Multilinear Algebra 60 (2012), 545–563.
  5. M. Brešar, Centralizing mappings and derivations in prime rings, J. Algebra 56 (1993), 385–394.
  6. ____, Commuting maps: a survey, Taiwanese J. Math. 8 (2004), 361–397.
  7. W. S. Cheung, Commuting maps of triangular algebras, J. London Math. Soc. 63 (2001), 117–127.
  8. Y. Du and Y. Wang, k-commuting maps on triangular algebras, Linear Algebra Appl. 436 (2012), 1367–1375.
  9. S. Ebrahimi and S. Talebi, Semi-centralizing maps and k-commuting maps of module extension algebras, J. Math. Ext. 9 (2015), no. 2, 9–25.
  10. S. Huang,Ö. Gölba¸sı, and E. Koç, On centralizing and strong commutativity preserving maps of semiprime rings, Ukrainian Math. J. 67 (2015), no. 2, 323–331.
  11. A. Jabeen, Lie (Jordan) centralizers on generalized matrix algebras, Comm. Algebra 49 (2020), no. 1, 278–291.
  12. Y. Li, F. Wei, and A. Fošner, k-commuting mappings of generalized matrix algebras, Period. Math. Hung. 79 (2019), no. 1, 50–77.
  13. Y. B. Li and F. Wei, Semi-centralizing maps of genralized matrix algebras, Linear Algebra Appl. 436 (2012), 1122–1153.
  14. J. H. Mayne, Centralizing automorphisms of prime rings, Canad. Math. Bull. 19 (1976), 113–115.
  15. C. R. Miers, Centralizing mappings of operator algebras, J. Algebra 59 (1979), no. 1, 56–64.
  16. E. C. Posner, Derivations in prime rings, Proc. Amer. Math. Soc. 8 (1957), 1093–1100.
  17. X. Qi, Additive biderivations and centralizing maps on nest algebras, J. Math. Res. Appl. 33 (2013), no. 2, 246–252.
  18. A. D. Sands, Radicals and Morita contexts, J. Algebra 24 (1973), 335–345.
  19. J. Vukman, Commuting and centralizing mappings in prime rings, Proc. Amer. Math. Soc. 109 (1990), no. 1, 47–52.
  20. Y. Wang, On functional identities of degree 2 and centralizing maps in triangular rings, Oper. Matrices 10 (2016), no. 2, 485–499.
  21. Z. K. Xiao and F. Wei, Commuting mappings of generalized matrix algebras, Linear Algebra Appl. 433 (2010), 2178–2197.
DOI: https://doi.org/10.2478/ausm-2023-0011 | Journal eISSN: 2066-7752
Language: English
Page range: 213 - 229
Submitted on: Nov 13, 2020
|
Published on: Dec 26, 2023
In partnership with: Paradigm Publishing Services
Publication frequency: 2 issues per year

© 2023 Mohammad Ashraf, Mohit Kumar, Aisha Jabeen, Musheer Ahmad, published by Sapientia Hungarian University of Transylvania
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.