References
- Brešar M. Commuting traces of biadditive mappings, commutativity preserving mappings and Lie mappings. Trans Amer Math Soc. 1993;335:525–546.
- Brešar M, Miers CR. Commutativity preserving mapping of von Neumann algebras. Canad J Math. 1993;45:659–708.
- Molnár L, S̆emrl P. Non-linear commutativity preserving maps on self-adjont operators. Q J Math. 2005;56:589–595.
- Zhang J-H. Nonlinear maps preserving Lie products on factor von Neumann algebras. Linear Algebra Appl. 2008;429:18–30.
- Bell HE, Daif MN. On commutativity and strong commutativity preserving maps. Can Math Bull. 1994;37:443–447.
- Brešar M, Miers CR. Strong commutativity preserving maps of semiprime rings. Can Math Bull. 1994;37:457–460.
- Deng Q, Ashraf M. On strong commutativity preserving maps. Results Math. 1996;30:259–263.
- Lin J-S, Liu C-K. Strong commutativity preserving maps on Lie ideals. Linear Algebra Appl. 2008;428:1601–1609.
- Qi X-F, Hou J-C. Nonlinear strong commutativity preserving maps. Commun Algebra. 2010;38:2790–2796.
- Qi X-F, Hou J-C. Nonlinear strong commutativity preserving maps on triangular algebras. Operators Matrices. 2012;6:147–158.
- Liu L. Strong commutativity preserving maps on von Neumann algebras. Linear Multilinear Algebra. 2015;63:490–496.
- Lanski C. An Engel condition with derivation for left ideals. Proc Amer Math Soc. 1997;125:339–345.
- Qi X-F. Strong 2-commutativity preserving maps on prime rings. Publ Math Debrecen. 2016;88:119–129.
- Liu M-Y, Hou J-C. Strong 3-commutativity preserving maps on standard operator algebras. 2016. arXiv: 1601.06336v1 [math. FA].
- Qi X-F, Hou J-C. Strong 3-commutativity preserving maps on prime rings. Linear Multilinear Algebra. doi:10.1080/03081087.2016.1265063
- Liu M-Y, Hou J-C. Strong k-commutativity preserving maps on real or complex 2 × 2 matrices. 2016. arXiv: 1603.08414 [math. FA]; J Taiyuan Univ Tech. 2017;48:254259. [Chinese]
- Fong C-K, Sourour AR. On the operator equation Σi=AiXBii = 0. Canad J Math. 1979;31:845–857.
- Kaplansky I. Algebraic and analytic aspects of operator algebras, CBMS regional conference series in mathematics. Vol. 1. Providence (RI): American Mathematical Society; 1970.