The Stability of Generalized Jordan Derivations Associated with Hochschild 2-Cocycles of Triangular Algebras
محورهای موضوعی : Fuzzy Optimization and Modeling Journal
Rohollah Bakhshandeh
1
(Faculty of Basic Sciences, Babol Noshirvani University of Technology, Babol, Iran.)
Isa Bakhshandeh
2
(Department of Mathematics, Iran University of Science and Technology, Iran.)
کلید واژه: Stability, Generalized Jordan Derivations, Jensen-type,
چکیده مقاله :
In present paper, the stability of generalized Jordan derivations associated with Hochschild 2-cocycles of triangular algebras for the generalized kind of Jensen-type functional equation is investigated. In fact, the main purpose of present paper is to prove the generalized Hyers-Ulam-Rassias stability of generalized Jordan derivation between algebra ${mathcal A}$ and an ${mathcal A}$-bimodule ${mathcal M}$. In present paper, the stability of generalized Jordan derivations associated with Hochschild 2-cocycles of triangular algebras for the generalized kind of Jensen-type functional equation is investigated. In fact, the main purpose of present paper is to prove the generalized Hyers-Ulam-Rassias stability of generalized Jordan derivation between algebra ${mathcal A}$ and an ${mathcal A}$-bimodule ${mathcal M}$.
