The Stability of Generalized Jordan Derivations Associated with Hochschild 2-Cocycles of Triangular Algebras

Subject Areas : Fuzzy Optimization and Modeling Journal

Rohollah 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.

Received: 2022-02-23 Accepted : 2022-05-01 Published : 2022-04-01

Keywords: Stability, ‎Generalized Jordan Derivations, Jensen-type,

Abstract :

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 ${mathcal M}$.