In this paper, the structure of Jordan higher derivable maps on triangular algebras by commutative zero products is given. As an application, the form of Jordan higher derivable maps of nest algebras by commutative ze...In this paper, the structure of Jordan higher derivable maps on triangular algebras by commutative zero products is given. As an application, the form of Jordan higher derivable maps of nest algebras by commutative zero products is obtained.展开更多
Let A and B be unital rings, and M be an （A, B）-bimodule, which is faithful as a left A-module and also as a right B-module. Let U = Tri（A,M, B） be the triangular algebra. In this paper, we give some different cha...Let A and B be unital rings, and M be an （A, B）-bimodule, which is faithful as a left A-module and also as a right B-module. Let U = Tri（A,M, B） be the triangular algebra. In this paper, we give some different characterizations of Lie higher derivations on U.展开更多
基金Supported by National Natural Science Foundation of China(Grant Nos.11471199 and 11371233)Research Fund for the Doctoral Program of Higher Education of China(Grant No.20110202110002)the Innovation Funds of Graduate Programs of Shaanxi Normal University(Grant No.2015CXB007)
文摘In this paper, the structure of Jordan higher derivable maps on triangular algebras by commutative zero products is given. As an application, the form of Jordan higher derivable maps of nest algebras by commutative zero products is obtained.
基金Supported by National Natural Science Foundation of China(Grant No.11101250)Youth Foundation of Shanxi Province(Grant No.2012021004)Young Talents Plan for Shanxi University
文摘Let A and B be unital rings, and M be an （A, B）-bimodule, which is faithful as a left A-module and also as a right B-module. Let U = Tri（A,M, B） be the triangular algebra. In this paper, we give some different characterizations of Lie higher derivations on U.
