10.30495/fomj.2022.1953414.1064

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

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  • Rohollah Bakhshandeh*1,
  • Isa Bakhshandeh2,
  1. Faculty of Basic Sciences, Babol Noshirvani University of Technology, Babol, Iran.
  2. Department of Mathematics, Iran University of Science and Technology, Iran.

Revised: 2022-02-23

Accepted: 2022-05-01

Published in Issue 2022-04-01

How to Cite

Bakhshandeh, R., & Bakhshandeh, I. (2022). The Stability of Generalized Jordan Derivations Associated with Hochschild 2-Cocycles of Triangular Algebras. Fuzzy Optimization and Modeling Journal (FOMJ), 3(2), 46-51. https://doi.org/10.30495/fomj.2022.1953414.1064
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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 ${mathcal M}$.
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