References
- Brešar , M . 1993 . Commuting traces of biadditive mappings, commutativity-preserving mappings and Lie mappings . Trans. Amer. Math. Soc. , 335 : 525 – 546 .
- Chen , L and Zhang , J-H . 2008 . Nonlinear Lie derivations on upper triangular matrices . Linear Multilinear Algebra, , 56 : 725 – 730 .
- Cheung , WS . 2000 . “ Maps on triangular algebras ” . In Ph.D. Dissertation , University of Victoria .
- Cheung , WS . 2001 . Commuting maps of triangular algebras . J. London Math. Soc. , 63 : 117 – 127 .
- Cheung , WS . 2003 . Lie derivations of triangular algebras . Linear Multilinear Algebra , 51 : 299 – 310 .
- Coelho , SP and Milies , CP . 1993 . Derivations of upper triangular matrix rings . Linear Algebra Appl. , 187 : 263 – 267 .
- Davidson , KR . 1988 . “ Nest Algebras ” . In Pitman Research Notes in Mathematics Series , Vol. 191 , London/New York : Longman .
- Ferrero , M and Haetinger , C . 2002 . Higher derivations and a theorem by Herstein . Quaest. Math. , 25 : 249 – 257 .
- Ferrero , M and Haetinger , C . 2002 . Higher derivations of semiprime rings . Comm. Algebra, , 30 : 2321 – 2333 .
- Heerema , N . 1970 . Higher derivations and automorphisms of complete local rings . Bull. Amer. Math. Soc. , 76 : 1212 – 1225 .
- Jøndrup , S . 1995 . Automorphisms and derivations of upper triangular matrix rings . Linear Algebra Appl. , 221 : 205 – 218 .
- Lu , F-Y . 2007 . Lie triple derivations on nest algebras . Math. Nachr. , 280 : 882 – 887 .
- Martindale , WS III . 1964 . Lie derivations of primitive rings . Michigan Math. J. , 11 : 183 – 187 .
- Mires , CR . 1973 . Lie derivations of von Neumann algebras . Duke Math. J. , 40 : 403 – 409 .
- Mires , CR . 1978 . Lie triple derivations of von Neumann algebras . Proc. Amer. Math. Soc. , 71 : 57 – 61 .
- Nakajima , A . 2000 . On generalized higher derivations . Turkish J. Math. , 24 : 295 – 311 .
- Qi , X-F and Hou , J-C . 2010 . Lie higher derivations on nest algebras . Comm. Math. Res. , 26 : 131 – 143 .
- Wei , F and Xiao , Z-K . 2011 . Higher derivations of triangular algebras and its generalizations . Linear Algebra Appl. , 435 : 1034 – 1054 .
- Yu , W-Y and Zhang , J-H . 2010 . Nonlinear Lie derivations of triangular algebras . Linear Algebra Appl. , 432 : 2953 – 2960 .
- Zhang , J-H , Wu , B-W and Cao , H-X . 2006 . Lie triple derivations of nest algebras . Linear Algebra Appl. , 416 : 559 – 567 .