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Original Articles

Commuting maps on rank-1 matrices over noncommutative division rings

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Pages 4696-4706 | Received 21 Sep 2016, Published online: 13 Apr 2017

References

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  • Brešar, M. (1995). On generalized biderivations and related maps. J. Algebra 172:764–786.
  • Brešar, M., Chebotar, M., Martindale, W. S. (2007). Functional Identities. Birkhäuser: Berlin, Verlag.
  • Franca, W. (2012). Commuting maps on some subsets of matrices that are not closed under addition. Linear Algebra Appl. 437:388–391.
  • Franca, W. (2013). Commuting maps on rank-k matrices. Linear Algebra Appl. 438:2813–2815.
  • Franca, W. (2016). Weakly commuting maps on the set of rank-1 matrices. Linear and Multilinear Algebra doi:10.1080/03081087.2016.1192576.
  • Liu, C.-K. (2014). Centralizing maps on invertible or singular matrices over division rings. Linear Algebra Appl. 440:318–324.

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