MA Fei1,2, ZHANG Jian-hua1*, REN Gang-lian2
(1 College of Mathematics and Information Science, Shaanxi Normal University, Xi′an 710062, Shaanxi, China;2 College of Mathematics and Information Science, Xianyang Normal University, Xianyang 712000, Shaanxi, China)
Abstract:
Generalized higher Jordan derivations, generalized higher Jordan triple derivations and generalized higher derivations are defined and discussed, respectively.Using the structure properties of triangular algebras and decompositions of algebras,it is proved that every generalized higher Jordan derivation and generalized higher Jordan triple derivation of triangular algebras are both generalized higher derivations. It is obtained that generalized higher Jordan derivation, generalized higher Jordan triple derivation and generalized higher derivation are equivalent on triangular algebras.
KeyWords:
generalized higher Jordan derivation; generalized higher Jordan triple derivation; generalized higher derivation; triangular algebra
