The Stability of Generalized Jordan Derivations Associated with Hochschild 2-Cocycles of Triangular Algebras
الموضوعات : Fuzzy Optimization and Modeling JournalRohollah Bakhshandeh 1 , Isa Bakhshandeh 2
1 - Faculty of Basic Sciences, Babol Noshirvani University of Technology, Babol, Iran.
2 - Department of Mathematics, Iran University of Science and Technology, Iran.
الکلمات المفتاحية: Stability, Generalized Jordan Derivations, Jensen-type,
ملخص المقالة :
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 ${mathcal M}$.
